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

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)`

Find the integrals of the following:

`1/(9x^2 - 4)`

Find the integrals of the following:

`1/(6x - 7 - x^2)`

Find the integrals of the following:

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

Find the integrals of the following:

`1/sqrt(xx^2 + 4x + 2)`

Find the integrals of the following:

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

Find the integrals of the following:

`1/sqrt(x^2 - 4x + 5)`

Find the integrals of the following:

`1/sqrt(9 + 8x - x^2)`