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

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

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

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

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

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

`(10x^9 +10^x.log10)/(10^x + x^10)`

Integrate the following functions w.r.t. x : `(x^n - 1)/sqrt(1 + 4x^n)`

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

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

`x^5sqrt(a^2 + x^2)`

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

`(5 - 3x)(2 - 3x)^(-1/2)`

Integrate the following functions w.r.t. x : `(7 + 4 + 5x^2)/(2x + 3)^(3/2)`

Integrate the following functions w.r.t. x : `x^2/sqrt(9 - x^6)`

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

Integrate the following functions w.r.t. x : `(1)/(x.logx.log(logx)`.

Integrate the following functions w.r.t. x : `(cos3x - cos4x)/(sin3x + sin4x)`

Integrate the following functions w.r.t. x : `cosx/sin(x - a)`

Integrate the following functions w.r.t. x : `sin(x - a)/cos(x  + b)`

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)`