CUET Mathematics - The value of the integral _ _e 2^ _e 3 e^2 x-1e^2 x+1 d x is : | PYQs + Solutions

CUET Mathematics

Calculus

Medium

core

$\log _{e} 3$

$\log _{e} 4-\log _{e} 3$

$\log _{e} 9-\log _{e} 4$

$\log _{e} 3-\log _{e} 2$

✅ Correct Option: 2

Related questions:

16 May Shift 1

If the integral $I = \int \frac{x^2}{\sqrt{1+x}} dx = \frac{2}{3}(1+x)^{3/2} - \frac{8x}{15}(1+x)^{3/2} + \frac{2(1+x)^{5/2}}{15} + C$ ; C is constant of integration, then the value of a is:

21 May Shift 1

Match List-I with List-II

List-I	List-II
Definite integral	Value
(A) $\int_{1}^{e} \frac{\log x}{x} dx$	(I) 4
(B) $\int_{-2}^{2} x^3(1 - x^2) dx$	(II) $\frac{1}{2}$
(C) $\int_{1}^{2} x \, dx$	(III) 0
(D) $\int_{-2}^{2} \|x\| dx$	(IV) $\frac{3}{2}$

Choose the correct answer from the options given below:

14 May Shift 2

For $x \in \mathbb{R} - \{-1,0,1\}$ , $\int \frac{1}{x - x^5}dx$ is equal to

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