1/^2 x (1 + x)^3 dx = Option 1: -2/(1 + x)^2 + C, where C is constant of Integration Option 2: -4/(1 + x)^4 + C, where C is constant of Integration Option 3: -1/2(1 + x)^2 + C, where C is constant of Integration Option 4: (1 + x)^3 + C, where C is constant of Integration

The answer is '-1/2(1 + x)^2 + C, where C is constant of Integration'. View full solution:

CUET Mathematics - 1/^2 x (1 + x)^3 dx = | PYQs + Solutions

CUET Mathematics 2022 7 Aug Shift 2

Calculus

Easy

$\frac{-2}{(1 + \tan x)^2} + C$ , where C is constant of Integration

$\frac{-4}{(1 + \tan x)^4} + C$ , where C is constant of Integration

$\frac{-1}{2(1 + \tan x)^2} + C$ , where C is constant of Integration

$\log(1 + \tan x)^3 + C$ , where C is constant of Integration

✅ Correct Option: 3

Related questions:

16 July Shift 2

Match List I with List II

List I	List II
A. $\int \frac{dx}{x^2 - a^2}$ is equal to	I. $\frac{x}{2}\sqrt{x^2 + a^2} + \frac{a^2}{2}\log\left
B. $\int \frac{dx}{\sqrt{x^2 + a^2}}$ is equal to	II. $\frac{1}{2a}\log\left
C. $\int \sqrt{a^2 - x^2} \, dx$ is equal to	III. $\frac{x}{2}\sqrt{a^2 - x^2} + \frac{a^2}{2}\sin^{-1}\frac{x}{a} + c$
D. $\int \sqrt{a^2 + x^2} \, dx$ is equal to	IV. $\log\left

Choose the correct answer from the options given below:

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$\int \frac{x}{(x-1)(x-2)} dx$ is equal to ( where $C$ is a constant of integration)

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$\int \sqrt{1 - 49x^2} \, dx$ is equal to