NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.3

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NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.3 is covered in this article. Exercise 7.3 includes questions on the topic, the prominent methods of Integration, Integration by Substitution, Integration using Partial Fraction, Integration by Parts. NCERT Solutions for Class 12 Maths Chapter 7 will carry a weightage of around 6-18 marks in the CBSE Term 2 Exam 2022. NCERT has provided a total of 25 problems and solutions based on the important topics.

Download PDF NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.3

NCERT Solutions for Class 12 Maths Chapter 7: Important Topics

Important topics covered in Integrals Chapter are:

  • Double Integral
  • Continuous Integration
  • Properties of Definite Integral
  • Line Integral
  • Integrals of Particular Function

Also check: NCERT Solutions for Class 12 Maths Chapter 7 Integrals 

Other Exercises Solutions of Class 12 Maths Chapter 7 Integrals

Chapter 7 Integrals Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.
    If \( \int \frac{1}{2x^2} \, dx = k \cdot 2x + C \), then \( k \) is equal to:

      • \( -1 \)
      • \( \log 2 \)
      • \( -\log 2 \)
      • \( 1/2 \)

    • 2.
      Let both $AB'$ and $B'A$ be defined for matrices $A$ and $B$. If the order of $A$ is $n \times m$, then the order of $B$ is:

        • $n \times n$
        • $n \times m$
        • $m \times m$
        • $m \times n$

      • 3.
        Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]


          • 4.
            The integrating factor of the differential equation \( (x + 2y^3) \frac{dy}{dx} = 2y \) is:

              • \( e^{y^2} \)
              • \( \frac{1}{\sqrt{y}} \)
              • \( e^{-\frac{1}{y^2}} \)
              • \( e^{y^2} \)

            • 5.
              A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.


                • 6.
                  If \( \overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c} = 0 \), \( |\overrightarrow{a}| = \sqrt{37} \), \( |\overrightarrow{b}| = 3 \), and \( |\overrightarrow{c}| = 4 \), then the angle between \( \overrightarrow{b} \) and \( \overrightarrow{c} \) is:

                    • \( \frac{\pi}{6} \)
                    • \( \frac{\pi}{4} \)
                    • \( \frac{\pi}{3} \)
                    • \( \frac{\pi}{2} \)
                  CBSE CLASS XII Previous Year Papers

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