HSC Arts इयत्ता ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Integrate the following with respect to x :

`("e"^x - "e"^-x)/("e"^x + "e"^-x)`

Integrate the following with respect to x :

`(10x^9 + 10^x log_"e" 10)/(10^x + x^10)`

Integrate the following with respect to x :

`(sin sqrt(x))/sqrt(x)`

Integrate the following with respect to x :

`cot x/(log(sin x))`

Integrate the following with respect to x :

`("cosec"  x)/(log(tan  x/2))`

Integrate the following with respect to x :

`(sin 2x)/("a"^2 + "b"^2 sin^2x)`

Integrate the following with respect to x :

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

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