HSC Science (Computer Science) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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

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

Integrate the following functions w.r.t. x : `sqrt((x - 3)(7 - x)`

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

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

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

Integrate the following functions w.r.t. x : `sec^2x.sqrt(tan^2x + tan x - 7)`

Integrate the following functions w.r.t. x: `sqrt(x^2 + 2x + 5)`.

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

Integrate the following functions w.r.t. x : [2 + cot x – cosec²x]e^x  

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

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

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

Integrate the following functions w.r.t. x : `e^x/x [x (logx)^2 + 2 (logx)]`

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

`e^(5x).[(5x.logx + 1)/x]`

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

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

Integrate the following functions w.r.t. x : cosec (log x)[1 – cot (log x)] 

Choose the correct options from the given alternatives :

`int (1)/(x + x^5)*dx` = f(x) + c, then `int x^4/(x + x^5)*dx` =

Choose the correct options from the given alternatives :

`int (log (3x))/(xlog (9x))*dx` =