Science (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

The value of the integral \[\int\limits_{- 2}^2 \left| 1 - x^2 \right| dx\] is ________ .

The value of \[\int\limits_0^\pi \frac{1}{5 + 3 \cos x} dx\] is

\[\int\limits_0^{2a} f\left( x \right) dx\]  is equal to

If f (a + b − x) = f (x), then \[\int\limits_a^b\] x f (x) dx is equal to

The value of \[\int\limits_0^1 \tan^{- 1} \left( \frac{2x - 1}{1 + x - x^2} \right) dx,\] is

The value of \[\int\limits_0^{\pi/2} \log\left( \frac{4 + 3 \sin x}{4 + 3 \cos x} \right) dx\] is 

The value of \[\int\limits_{- \pi/2}^{\pi/2} \left( x^3 + x \cos x + \tan^5 x + 1 \right) dx, \] is 

`int_0^(2a)f(x)dx`

\[\int\limits_0^4 x\sqrt{4 - x} dx\]

\[\int\limits_1^2 x\sqrt{3x - 2} dx\]

\[\int\limits_1^5 \frac{x}{\sqrt{2x - 1}} dx\]

\[\int\limits_0^1 \cos^{- 1} x dx\]

\[\int\limits_0^1 \tan^{- 1} x dx\]

\[\int\limits_0^1 \cos^{- 1} \left( \frac{1 - x^2}{1 + x^2} \right) dx\]