NCERT Solutions for Applications of Integrals Exercise 8.2 Solutions

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Class 12 Maths NCERT Solutions Chapter 8 Applications of Integrals Exercise 8.2 is provided in the article. Class 12 Chapter 8 Applications of Integrals Exercises include questions on area between a curve, parabola, and ellipse. All questions under this chapter are solved using diagrams and an easy to understand method.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 8 Exercise 8.2

Read More: NCERT Solutions For Class 12 Mathematics Chapter 8 Application of Integrals

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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.
      Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.


        • 3.
          If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

            • 0
            • 1
            • -2
            • -4

          • 4.
            If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]


              • 5.
                The integrating factor of the differential equation \( (x + 2y^3) \frac{dy}{dx} = 2y \) is:

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

                • 6.
                  Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]

                    CBSE CLASS XII Previous Year Papers

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