HSC Science (General) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Integrate the following functions w.r.t. x: 

`(1)/(sinx.cosx + 2cos^2x)`

Integrate the following functions w.r.t. x : `(sinx + 2cosx)/(3sinx + 4cosx)`

Integrate the following functions w.r.t. x : `(1)/(2 + 3tanx)`

Integrate the following functions w.r.t. x : `(4e^x - 25)/(2e^x - 5)`

Integrate the following functions w.r.t. x : `(20 + 12e^x)/(3e^x + 4)`

Integrate the following functions w.r.t. x : `(3e^(2x) + 5)/(4e^(2x) - 5)`

Integrate the following functions w.r.t.x:

cos⁸xcotx

Integrate the following functions w.r.t. x : tan⁵x

Integrate the following functions w.r.t. x : cos⁷x

Integrate the following functions w.r.t. x :  tan 3x tan 2x tan x

Integrate the following functions w.r.t. x : sin⁵x.cos⁸x

Integrate the following functions w.r.t. x : `3^(cos^2x) sin 2x`

Integrate the following functions w.r.t. x : `(sin6x)/(sin 10x sin 4x)`

Integrate the following functions w.r.t. x:

`(sinx cos^3x)/(1 + cos^2x)`

Evaluate the following : `int (1)/(4x^2 - 3).dx`

Evaluate the following:

`int (1)/(25 - 9x^2)*dx`

Evaluate the following : `int (1)/(7 + 2x^2).dx`

Evaluate the following : `int (1)/sqrt(3x^2 - 8).dx`

Evaluate the following : `int (1)/sqrt(11 - 4x^2).dx`

Evaluate the following : `int (1)/sqrt(2x^2 - 5).dx`