KC+CET PYQs for Integration by Partial Fractions with Solutions: Practice KCET Previous Year Questions

Updated on - Feb 16, 2026

Integration by Partial Fractions is an important topic in the Mathematics section in KCET exam. Practising this topic will increase your score overall and make your conceptual grip on KCET exam stronger.

This article gives you a full set of KCET PYQs for Integration by Partial Fractions with explanations for effective preparation. Practice of KCET Mathematics PYQs including Integration by Partial Fractions questions regularly will improve accuracy, speed, and confidence in the KCET 2026 exam.

KCET PYQs for Integration by Partial Fractions with Solutions

1.
The function \(x^x; x > 0\) is strictly increasing at
- \(\forall x\in R\)
- \(x<\frac{1}{e}\)
- \(x>\frac{1}{e}\)
- \(x<0\)
View Solution
2.
\(∫\frac{sinx}{3+4cos^2x}dx=\)
- \(-\frac{1}{2\sqrt 3}tan^{-1}(\frac{2cosx}{\sqrt 3})+C\)
- \(\frac{1}{\sqrt 3}tan^{-1}(\frac{cosx}{3})+C\)
- \(\frac{1}{2\sqrt 3}tan^{-1}(\frac{cosx}{3})+C\)
- \(-\frac{1}{\sqrt 3}tan^{-1}(\frac{2cosx}{3})+C\)
View Solution
3.
If
\[\int\frac{3x+1}{(x-1)(x-2)(x-3)}dx\]

\[= A \;log |x - 1| + B \;log |x - 2| + C\; log |x - 3| + C\]
, then the values of A, B and C are respectively.
- 5, -7, -5
- 2, -7, -5
- 5, -7, 5
- 2, -7, 5
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4.
\(\int\limits_{-π}^π(1-x^2)sinx.cos^2xdx=\)
- \(π-\frac{π^2}{3}\)
- \(2π-π^3\)
- \(π-\frac{π^3}{2}\)
- 0
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