NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.7

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NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.7 is covered in this article. Exercise 7.7 includes questions on some particular types of integral. 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 24 problems and solutions based on the important topics.

Download PDF NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.7

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.
    Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).


      • 2.
        Find:

        The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

          • \(-\frac{\pi}{2}\)
          • \(-\frac{\pi}{4}\)
          • \(\frac{\pi}{4}\)
          • \(\frac{\pi}{2}\)

        • 3.
          Find:

          If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

            • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
            • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
            • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
            • \(p = 0, \, q = 0\)

          • 4.

            An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
            Based on the above information, answer the following questions :


              • 5.
                Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


                  • 6.
                    Which of the following equations is NOT a Linear Differential Equation?

                      • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
                      • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
                      • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
                      • \(y \, dx - (x + 3y^2) \, dy = 0\)
                    CBSE CLASS XII Previous Year Papers

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