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

Find the integrals of the following:

`1/(9x^2 - 4)`

Find the integrals of the following:

`1/(6x - 7 - x^2)`

Find the integrals of the following:

`1/((x + 1)^2 - 25)`

Find the integrals of the following:

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

Find the integrals of the following:

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

Find the integrals of the following:

`1/sqrt(x^2 - 4x + 5)`

Find the integrals of the following:

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

Integrate the following with respect to x:

`(2x - 3)/(x^2 + 4x - 12)`

Integrate the following with respect to x:

`(5x - 2)/(2 + 2x + x^2)`

Integrate the following with respect to x:

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

Integrate the following with respect to x:

`(2x + 1)/sqrt(9 + 4x - x^2)`

Integrate the following with respect to x:

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

Integrate the following with respect to x:

`(2x + 3)/sqrt(x^2 + 4x + 1)`

Integrate the following functions with respect to x:

`sqrt(x^2 + 2x + 10)`

Integrate the following functions with respect to x:

`sqrt(x^2 - 2x - 3)`

Integrate the following functions with respect to x:

`sqrt((6 - x)(x - 4))`

Integrate the following functions with respect to x:

`sqrt(9 - (2x + 5)^2`

Integrate the following functions with respect to x:

`sqrt(81 + (2x + 1)^2`

Integrate the following functions with respect to x:

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

Choose the correct alternative:

If `int 3^(1/x)/x^2  "d"x = "k"(3^(1/x)) + "c"`, then the value of k is