MHT CET PYQs for Integration by Partial Fractions with Solutions: Practice MHT CET Previous Year Questions

Integration By Partial Fractions is a topic from Class 12 Mathematics, and it is part of the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Integration By Partial Fractions PYQs are:

Integrals of rational functions by partial fractions

Practising Integration By Partial Fractions MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get less than 1 mark per paper by covering Integration By Partial Fractions. The chapter recorded 1 question across the 80 shifts in the data, and none of them came in the 2025 and 2026 papers.

MHT CET Integration By Partial Fractions Topic: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2022-2022)	1
Questions in the 2025 and 2026 papers (33 shifts)	0
Questions in the 2018 to 2026 papers (80 shifts)	1
Typical number of Mathematics questions from this topic in one shift	Fewer than 1 out of 50
Marks for each question	2

The PDF holds 1 question from MHT CET 2022, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Integration By Partial Fractions PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Integration By Partial Fractions PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	0	16	Fewer than 1 out of 50
2025	0	17	Fewer than 1 out of 50
2024	0	18	Fewer than 1 out of 50
2023	0	12	Fewer than 1 out of 50
2022	1	1	About 1 out of 50

The 2018 to 2021 papers in the PDF add 0 more questions: 2021 had none, 2020 had none, 2019 had none, 2018 had none.

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Integration By Partial Fractions PYQs

The only question in this PDF is a single-correct MCQ on an integral that is solved by partial fractions.

Question Style	What it Tests
Indefinite integral	An integral of a rational function that is evaluated by splitting it into partial fractions, with the answer written with a constant of integration

How to Use the Integration By Partial Fractions PYQ PDF for MHT CET

Start with the newest papers in the PDF, 2022 first, because the topic had no question in 2025 and 2026.
Factorise the denominator first and write the fraction as a sum of simpler fractions with unknown constants.
Compare the coefficients to find the constants and then integrate each term.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Integration By Partial Fractions PYQs and MCQs

Source: Unacademy MHTCET

Integration By Partial Fractions PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Integration By Partial Fractions every year?

Ans. In this PDF, the question is from 2022. In 2025 and 2026 together the topic had 0 questions across 33 shifts, which is fewer than 1 in a typical shift.

Ques. What kind of questions are asked from Integration By Partial Fractions?

Ans. A single-correct MCQ on the integral of a rational function by partial fractions.

Ques. What is the best way to practise Integration By Partial Fractions PYQs?

Ans. Solve the questions from the newest paper first, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Integration By Partial Fractions?

Ans. The topic had no questions in the 2025 and 2026 papers. Learning how to split a fraction into partial fractions is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Integration By Partial Fractions PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for Integration by Partial Fractions with Solutions: Practice MHT CET Previous Year Questions

Integration By Partial Fractions PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Integration By Partial Fractions PYQs

How to Use the Integration By Partial Fractions PYQ PDF for MHT CET

Video: Integration By Partial Fractions PYQs and MCQs

Integration By Partial Fractions PYQ for MHT CET Mathematics FAQs

1.
Evaluate the integral \[ \int \frac{x^3}{(x+1)^2} \, dx. \]

2.
\(\int \frac{x^4+1}{x^6+1}dx =\)

3.
\(\int \frac{sinx}{sin4x}dx =\)

4.
If \(z = x + iy\) is a complex number, then the equation \(\left| \frac{z+i}{z-i} \right| = \sqrt{3}\) represents the

5.
If $\int \frac{dx}{x^4 + 5x^2 + 4} = A \tan^{-1} x + B \tan^{-1} \frac{x}{2} + c$ where $c$ is a constant of integration, then ______.

6.
Evaluate the integral: \[ \int \frac{x+1}{x(1+xe^x)^2}\,dx \]

7.
\(\int \frac{x+2}{x^2-7x+12}dx\) is equal to

8.
\(\int \frac{x^2\,\text{d}x}{(x^2+2)(x^2+5)} =\)

9.
\(\int \frac{2x}{4-3x-x^2}dx = \cdots\)

10.
\(\int \frac{(x+1)}{x(1+xe^x)^2}dx =\)

11.
$\int \frac{dx}{x(x^3 + 1)} = \dots$

12.
If $\int \frac{(x^4+1)}{x(x^2+1)^2} \, dx = A \log |x| + \frac{B}{1+x^2} + c$, then $A - B$ is ______.

13.
Evaluate the integral: \[ \int \frac{2x}{x^2 - 5x + 4}\, dx \]

14.
If \(\int f(x)\,dx = g(x)\) then \(\int x^3f(x^2)\,dx\) is equal to

15.
If \(f(x) = \int \frac{x}{(x^2+4)(x^2+9)}\,dx\) and \(f(0) = \frac{1}{5}log(\frac{2}{3})\), then \(f(1) =\)

Comments

dOGVmW

Integration By Partial Fractions PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Integration By Partial Fractions PYQs

How to Use the Integration By Partial Fractions PYQ PDF for MHT CET

Video: Integration By Partial Fractions PYQs and MCQs

Integration By Partial Fractions PYQ for MHT CET Mathematics FAQs

1.Evaluate the integral \[ \int \frac{x^3}{(x+1)^2} \, dx. \]

2.\(\int \frac{x^4+1}{x^6+1}dx =\)

3.\(\int \frac{sinx}{sin4x}dx =\)

4.If \(z = x + iy\) is a complex number, then the equation \(\left| \frac{z+i}{z-i} \right| = \sqrt{3}\) represents the

5.If $\int \frac{dx}{x^4 + 5x^2 + 4} = A \tan^{-1} x + B \tan^{-1} \frac{x}{2} + c$ where $c$ is a constant of integration, then ______.

6.Evaluate the integral: \[ \int \frac{x+1}{x(1+xe^x)^2}\,dx \]

7.\(\int \frac{x+2}{x^2-7x+12}dx\) is equal to

8.\(\int \frac{x^2\,\text{d}x}{(x^2+2)(x^2+5)} =\)

9.\(\int \frac{2x}{4-3x-x^2}dx = \cdots\)

10.\(\int \frac{(x+1)}{x(1+xe^x)^2}dx =\)

11.$\int \frac{dx}{x(x^3 + 1)} = \dots$

12.If $\int \frac{(x^4+1)}{x(x^2+1)^2} \, dx = A \log |x| + \frac{B}{1+x^2} + c$, then $A - B$ is ______.

13.Evaluate the integral: \[ \int \frac{2x}{x^2 - 5x + 4}\, dx \]

14.If \(\int f(x)\,dx = g(x)\) then \(\int x^3f(x^2)\,dx\) is equal to

15.If \(f(x) = \int \frac{x}{(x^2+4)(x^2+9)}\,dx\) and \(f(0) = \frac{1}{5}log(\frac{2}{3})\), then \(f(1) =\)

Comments

dOGVmW

1.
Evaluate the integral \[ \int \frac{x^3}{(x+1)^2} \, dx. \]

2.
\(\int \frac{x^4+1}{x^6+1}dx =\)

3.
\(\int \frac{sinx}{sin4x}dx =\)

4.
If \(z = x + iy\) is a complex number, then the equation \(\left| \frac{z+i}{z-i} \right| = \sqrt{3}\) represents the

5.
If $\int \frac{dx}{x^4 + 5x^2 + 4} = A \tan^{-1} x + B \tan^{-1} \frac{x}{2} + c$ where $c$ is a constant of integration, then ______.

6.
Evaluate the integral: \[ \int \frac{x+1}{x(1+xe^x)^2}\,dx \]

7.
\(\int \frac{x+2}{x^2-7x+12}dx\) is equal to

8.
\(\int \frac{x^2\,\text{d}x}{(x^2+2)(x^2+5)} =\)

9.
\(\int \frac{2x}{4-3x-x^2}dx = \cdots\)

10.
\(\int \frac{(x+1)}{x(1+xe^x)^2}dx =\)

11.
$\int \frac{dx}{x(x^3 + 1)} = \dots$

12.
If $\int \frac{(x^4+1)}{x(x^2+1)^2} \, dx = A \log |x| + \frac{B}{1+x^2} + c$, then $A - B$ is ______.

13.
Evaluate the integral: \[ \int \frac{2x}{x^2 - 5x + 4}\, dx \]

14.
If \(\int f(x)\,dx = g(x)\) then \(\int x^3f(x^2)\,dx\) is equal to

15.
If \(f(x) = \int \frac{x}{(x^2+4)(x^2+9)}\,dx\) and \(f(0) = \frac{1}{5}log(\frac{2}{3})\), then \(f(1) =\)