MHT-CET

7-2.Definite Integral question bank (Mathematics)

Practice 201 free MHT-CET Mathematics - 7-2.Definite Integral questions with answers and step-by-step solutions.

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Q1.

$\int_{-1}^{3} \left[ \tan^{-1} \left( \frac{x}{x^{2}+1} \right) + \tan^{-1} \left( \frac{x^{2}+1}{x} \right) \right] dx =$

(A)

$\pi$

(B)

$2 \pi$

(C)

$\frac{\pi}{2}$

(D)

$\frac{\pi}{4}$

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Q2.

$\int_0^1 \frac{8 \log (1+x)}{1+x^2} \,d x=$

(A)

$\frac{\pi}{2} \log 2$

(B)

$\pi \log 2$

(C)

$-\pi \log 2$

(D)

$\frac{-\pi}{2} \log 3$

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