NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise Solutions

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Class 12 Maths NCERT Solutions Chapter 8 Applications of Integrals Miscellaneous Exercises are provided in the article. Class 12 Chapter 8 Applications of Integrals Miscellaneous Exercises are important for both CBSE Term II exam and for competitive exams. Key topics covered in this chapter are Area Between Two Curves, lines, parabolas; area of circles/ellipses.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercises

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CBSE CLASS XII Related Questions

  • 1.

    Prove that:
    \( \tan^{-1}(\sqrt{x}) = \frac{1}{2} \cos^{-1}\left( \frac{1 - x}{1 + x} \right), \quad x \in [0, 1] \)


      • 2.
        Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]


          • 3.
            The domain of the function \( f(x) = \cos^{-1}(2x) \) is:

              • \([-1, 1]\)
              • \(\left[0, \frac{1}{2}\right]\)
              • \([-2, 2]\)
              • \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)

            • 4.
              Find the value of λ, if the points A(−1,−1,2), B(2,8,λ), C(3,11,6) are collinear.


                • 5.
                  Find the general solution of the differential equation \[ x^2 \frac{dy}{dx} = x^2 + xy + y^2 \] OR


                    • 6.
                      Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

                        CBSE CLASS XII Previous Year Papers

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