Mathematics

# $\int_{0}^{\frac{1}{2}}\frac{xsin^{-1}x}{\sqrt{1-x^{2}}}dx$ is equal to

$\frac{1}{2}+\frac{\pi }{2\sqrt{3}}$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

Q1 Subjective Medium
solve $\int \frac{1}{1+e^{-1}}\;dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
The value of the integral $\int _{ 0 }^{ - }{ \dfrac { xlogx }{ \left( { 1+x }^{ 2 } \right) ^{ 2 } } dx }$ is _________.
• A. log 7
• B. 5 log 13
• C. none of these
• D.

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Evaluate the following integral:
$\displaystyle\int^{\pi/6}_0\dfrac{\cos x}{(3+4\sin x)}dx$.

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Medium
$\displaystyle \int a^xdx$ is equal to :
• A. $\displaystyle\frac{a^x}{xlog a}+C$
• B. $\displaystyle a^xlog a+C$
• C. $\displaystyle\frac{xa^x}{log a}+C$
• D. $\displaystyle\frac{a^x}{log a}+C$

Find the value of $\displaystyle\int _{ 0 }^{ 2\pi }{ \sin ^{ 2 }{ x } \cdot \cos ^{ 4 }{ x } dx }$.