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

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

Integrate the following functions w.r.t. x : `(x.sec^2(x^2))/sqrt(tan^3(x^2)`

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

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

Integrate the following functions w.r.t. x : `e^x.log (sin e^x)/tan(e^x)`

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

Integrate the following functions w.r.t. x : sin⁴x.cos³x

Integrate the following functions w.r.t. x : `(1)/(4x + 5x^-11)`

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

x⁹.sec²(x¹⁰)

Integrate the following functions w.r.t. x : e^3logx(x⁴ + 1)^–1 

Integrate the following functions w.r.t. x : `sqrt(tanx)/(sinx.cosx)`

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)`