HSC Commerce इयत्ता १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Integrate the following with respect to x.

`(6x + 7)/sqrt(3x^2 + 7x - 1)`

Integrate the following with respect to x.

`(4x + 2) sqrt(x^2 + x + 1)`

Integrate the following with respect to x.

x⁸(1 + x⁹)⁵ 

Integrate the following with respect to x.

`(x^("e" - 1) + "e"^(x - 1))/(x^"e" + "e"^x)`

Integrate the following with respect to x

`1/(x log x)`

Integrate the following with respect to x.

`x/(2x^4 - 3x^2 - 2)`

Integrate the following with respect to x.

e^x(1 + x) log(xe^x)

Integrate the following with respect to x.

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

Integrate the following with respect to x.

`"e"^x [1/x^2 - 2/x^3]`

Integrate the following with respect to x.

`"e"^x [(x - 1)/(x + 1)^3]`

Integrate the following with respect to x.

`"e"^(3x) [(3x - 1)/(9x^2)]`

Integrate the following with respect to x.

`1/(9 - 16x^2)`

Integrate the following with respect to x.

`1/(9 - 8x - x^2)`

Integrate the following with respect to x.

`1/(2x^2 - 9)`

Integrate the following with respect to x.

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

Integrate the following with respect to x.

`1/(x^2 + 3x + 2)`

Integrate the following with respect to x.

`1/(2x^2 + 6x - 8)`

Integrate the following with respect to x.

`"e"^x/("e"^(2x) - 9)`

Integrate the following with respect to x.

`1/sqrt(9x^2 - 7)`

Integrate the following with respect to x.

`1/sqrt(x^2 + 6x + 13)`