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.

    Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


      • 2.

        Evaluate :

        \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


          • 3.

            Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


              • 4.

                For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

                  • \(\frac{1}{2}\)
                  • \(\frac{3}{5}\)
                  • \(\frac{1}{5}\)
                  • \(\frac{3}{10}\)

                • 5.

                  For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.

                  Minimize \(Z = 5x + 7y\)

                  subject to constraints

                  \[ 2x + y \geq 8 \]

                  \[ x + 2y \geq 10 \]

                  \[ x,\ y \geq 0. \]


                    • 6.

                      Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

                        CBSE CLASS XII Previous Year Papers

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