_0^ e^ xe^ x + e^- x dx = Option 1: /4 Option 2: /3 Option 3: /6 Option 4: /2

The answer is '/2'. View full solution:

CUET Mathematics - _0^ e^ xe^ x + e^- x dx = | PYQs + Solutions

CUET Mathematics 2022 4 Aug Shift 1

Calculus

Medium

$\pi/4$

$\pi/3$

$\pi/6$

$\pi/2$

✅ Correct Option: 4

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15 June Shift 2

The value of $\int_{0}^{3} |2x - 6| dx$ is :

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:

22 May Shift 2

Match List-I with List-II (where $c$ is an arbitrary constant)

Choose the correct answer from the options given below: