$\int \frac{x{\sin }^{-1}x}{\sqrt{1-x^2}}dx=$
 

Important Questions on Integration

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 3

$\int e^x\left[\frac{2+\sin 2x}{1+\cos 2x}\right]dx=$

MEDIUM

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 4

$\int e^x\left[\frac{1+x\log x}{x}\right]dx=$
 

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 5

If $f\left(x\right)=x$ and $g\left(x\right)=\sin x$, then $\int f\left(x\right)g\left(x\right)dx=$

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 7

$\int \frac{x^{9}dx}{{\left(4x^2+1\right)}^6}$ is equal to

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 10

If $\int x\frac{\ln \left(x+\sqrt{1+x^2}\right)}{\sqrt{1+x^2}}dx$  $=a\sqrt{1+x^2}\ln \left(x+\sqrt{1+x^2}\right)+bx+c,$ then

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 11

If $\int {\tan }^{4}xdx=A{\tan }^{3}x+B\tan x+f\left(x\right)$, then

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 12

$4\int \frac{\sqrt{a^6+x^8}}{x}dx$ is equal to

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 15

If $xf\left(x\right)=3f^2\left(x\right)+2,$ then $\int \frac{2x^2-12xf\left(x\right)+f\left(x\right)}{\left(6f\left(x\right)-x\right){\left(x^2-f\left(x\right)\right)}^2}dx$ equals