HSC Arts Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Integrate the following with respect to x :

`sqrt(x)/(1 + sqrt(x))`

Integrate the following with respect to x :

`1/(x log x log (log x))`

Integrate the following with respect to x :

`alpha beta  x^(alpha - 1)  "e"^(- beta x^alpha)`

Integrate the following with respect to x :

`tan x sqrt(sec x)`

Integrate the following with respect to x :

x(1 – x)¹⁷

Integrate the following with respect to x :

sin⁵x cos³x

Integrate the following with respect to x :

`cosx/(cos(x - "a"))`

Integrate the following with respect to x:

9xe^3x

Integrate the following with respect to x:

x sin 3x

Integrate the following with respect to x:

25xe^–5x 

Integrate the following with respect to x:

x sec x tan x

Integrate the following with respect to x:

x log x

Integrate the following with respect to x:

27x²e^3x

Integrate the following with respect to x:

x² cos x

Integrate the following with respect to x:

x³ sin x

Integrate the following with respect to x:

`(x sin^-1 x)/sqrt(1 - x^2)`

Integrate the following with respect to x:

x⁵e^x2

Integrate the following with respect to x:

`tan^-1 ((8x)/(1 - 16x^2))`

Integrate the following with respect to x:

`sin^-1 ((2x)/(1 + x^2))`

Integrate the following with respect to x:

`"e"^("a"x) cos"b"x`