HSC Arts Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Integrate the following with respect to x:

x² cos x

Integrate the following with respect to x:

x³ sin x

Integrate the following with respect to x:

`(x sin^-1 x)/sqrt(1 - x^2)`

Integrate the following with respect to x:

x⁵e^x2

Integrate the following with respect to x:

`tan^-1 ((8x)/(1 - 16x^2))`

Integrate the following with respect to x:

`sin^-1 ((2x)/(1 + x^2))`

Integrate the following with respect to x:

`"e"^("a"x) cos"b"x`

Integrate the following with respect to x:

`"e"^(2x) sinx`

Integrate the following with respect to x:

`"e"^(-x) cos 2x`

Integrate the following with respect to x:

`"e"^(- 3x) sin 2x`

Integrate the following with respect to x:

`"e"^(- 4x) sin 2x`

Integrate the following with respect to x:

`"e"^(- 3x) cos x`

Integrate the following with respect to x:

`"e"^x (tan x + log sec x)`

Integrate the following with respect to x:

`"e"^x ((x - 1)/(2x^2))`

Integrate the following with respect to x:

`"e"^x sec x(1 + tan x)`

Integrate the following with respect to x:

`"e"^x ((2 + sin 2x)/(1 + cos 2x))`

Integrate the following with respect to x:

`"e"^(tan^-1 x) ((1 + x + x^2)/(1 + x^2))`

Integrate the following with respect to x:\

`logx/(1 + log)^2`

Find the integrals of the following:

`1/(4 - x^2)`

Find the integrals of the following:

`1/(25 - 4x^2)`