CUET Mathematics - The value of the definite integral I = _1^2 1/x(1 + x^2)dx is: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Calculus

Medium

applied

3/2

$\frac{3}{2}\log 2 - \frac{1}{2}\log 5$

$\frac{5}{2}\log 3 - \frac{1}{2}\log 5$

$\frac{5}{2}\log 3 + \log 5$

✅ Correct Option: 2

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If $\int e^x\left(\frac{x-1}{(x+1)^3}\right)dx = \frac{Ae^x}{(x+1)^B} + C$ , where C is constant of integration then which of the following are correct?

(A) $A = -1$

(B) $A = 1$

(D) $B = 2$

Choose the correct answer from the options given below:

CUET Mathematics 2025 14 May Shift 2 PYQs

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