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

Integrate the functions:

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

Integrate the functions:

`1/(x-sqrtx)`

Integrate the functions:

`x/(sqrt(x+ 4))`, x > 0 

Integrate the functions:

`(x^3 - 1)^(1/3) x^5`

Integrate the functions:

`x^2/(2+ 3x^3)^3`

Integrate the functions:

`1/(x(log x)^m),  x > 0, m ne 1`

Integrate the functions:

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

Integrate the functions:

`e^(2x+3)`

Integrate the functions:

`x/(e^(x^2))`

Integrate the functions:

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

Integrate the functions:

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

Integrate the functions:

`(e^(2x) -  e^(-2x))/(e^(2x) + e^(-2x))`

Integrate the functions:

tan²(2x – 3)

Integrate the functions:

sec²(7 – 4x)

Integrate the functions:

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

Integrate the functions:

`(2cosx - 3sinx)/(6cos x + 4 sin x)`

Integrate the functions:

`1/(cos^2 x(1-tan x)^2`

Integrate the functions:

`cos sqrt(x)/sqrtx`

Integrate the functions:

`sqrt(sin 2x) cos 2x`

Integrate the functions:

`cos x /(sqrt(1+sinx))`