HSC Arts (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Evaluate the following integrals:

`int (cos2x)/sin^2x dx` 

Evaluate the following integrals : `int (cos2x)/(sin^2x.cos^2x)dx`

Evaluate the following integrals : `int sinx/(1 + sinx)dx`

Evaluate the following integrals : `int tanx/(sec x + tan x)dx`

Evaluate the following integrals : `int sqrt(1 + sin 2x) dx`

Evaluate the following integrals : `intsqrt(1 - cos 2x)dx`

Evaluate the following integrals: `int sin 4x cos 3x dx`

Evaluate the following integrals:

`int x/(x + 2).dx`

Evaluate the following integral: 

`int(4x + 3)/(2x + 1).dx`

Evaluate the following integrals : `int(5x + 2)/(3x - 4).dx`

Evaluate the following integrals: `int(x - 2)/sqrt(x + 5).dx`

Evaluate the following integrals: `int (2x - 7)/sqrt(4x - 1).dx`

Evaluate the following integrals:

`int (sin4x)/(cos2x).dx`

Evaluate the following integrals : `intsqrt(1 + sin 5x).dx`

Evaluate the following integrals : `int cos^2x.dx`

Evaluate the following integrals:

`int(2)/(sqrt(x) - sqrt(x + 3)).dx`

Evaluate the following integrals : `int (3)/(sqrt(7x - 2) - sqrt(7x - 5)).dx`

If `f'(x) = x - (3)/x^3, f(1) = (11)/(2)`, find f(x)

Integrate the following functions w.r.t. x : `(logx)^n/x`

Integrate the following functions w.r.t. x : `((sin^-1 x)^(3/2))/(sqrt(1 - x^2)`