Evaluate the integral $\underset{0}{\overset{1}{\int }}\left|2x-1\right|dx$

Important Questions on Definite Integrals

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 30

Evaluate the integral $\underset{1}{\overset{3}{\int }}\left|x^2-2x\right|dx$

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 31

If integral $\underset{0}{\overset{\pi /2}{\int }}\left|\sin x-\cos x\right|dx=k(\sqrt{2}-1)$, then the value of $k$ is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 32

If integral $\underset{0}{\overset{1}{\int }}\left|\sin 2\pi x\right|dx=\frac{k}{\pi }$, then the value of $k$ is 

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 33

Evaluate the integral $\underset{1}{\overset{3}{\int }}\left|x^2-4\right|dx$

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 34

Evaluate the integral $\underset{-\pi /2}{\overset{\pi /2}{\int }}{\sin }^{9}xdx$

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 35

Evaluate the integral $\underset{-1/2}{\overset{1/2}{\int }}\cos x\log \left(\frac{1+x}{1-x}\right)dx$

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 36

Evaluate the integral $\underset{-a}{\overset{a}{\int }}\frac{x{e}^{x^2}}{1+x^2}dx$

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 1 - Definite Integrals>REVISION EXERCISE>Q 37

${\int }_0^{\pi /2}\frac{1}{1+{\cot }^{7}x}dx=\frac{\mathrm{\pi }}{a}$, find the value of $a$?