${\int }_0^1\frac{dx}{e^x+e^{-x}}$ is equal to

Important Questions on Definite Integration

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 8

If ${\int }_a^b\{f\left(x\right)-3x\}dx=a^2-b^2$, then the value of $f\left(\frac{\pi }{6}\right)$ is

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 9

The value of the integral ${\int }_0^{\frac{\pi }{4}}\frac{\sqrt{\tan x}}{\sin x\cos x}dx$ equals

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 10

If $I_n={\int }_0^{\frac{\pi }{4}}{\tan }^n\theta d\theta$, then $I_8+I_6$ equals

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 11

The value of ${\int }_0^1\frac{x^4+1}{x^2+1}dx$ is

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 12

${\int }_0^{\frac{\pi }{2}}\frac{dx}{2+\cos x}=$

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 13

If ${\int }_{\ln 2}^a\frac{e^x}{\sqrt{e^x-1}}dx=2$, then $a=$

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 14

${\int }_0^{\frac{\pi }{2}}\frac{\cos 2x}{\cos x+\sin x}dx=$

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 7 - Definite Integration>Level 1>Q 15

${\int }_0^{\frac{\pi }{4}}x{\sec }^{2}xdx=$