HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Integrate the following with respect to x.

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

Integrate the following with respect to x.

`x^3/sqrt(x^8 - 1)`

Integrate the following with respect to x.

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

Integrate the following with respect to x.

`sqrt(x^2 - 2)`

Integrate the following with respect to x.

`sqrt(4x^2 - 5)`

Integrate the following with respect to x.

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

Integrate the following with respect to x.

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

Choose the correct alternative:

`int 1/x^3  "d"x` is

Choose the correct alternative:

`int 2^x  "d"x` is

Choose the correct alternative:

`int (sin2x)/(2sinx)  "d"x` is

Choose the correct alternative:

`int (sin5x - sinx)/(cos3x)  "d"x` is

Choose the correct alternative:

`int logx/x  "d"x, x > 0` is

Choose the correct alternative:

`int "e"^x/sqrt(1 + "e"^x)  "d"x` is

Choose the correct alternative:

`int sqrt("e"^x) "d"x` is

Choose the correct alternative:

`int "e"^(2x) [2x^2 + 2x]  "d"x`

Choose the correct alternative:

`int "e"^x/("e"^x + 1)  "d"x` is

Choose the correct alternative:

`int[9/(x - 3) - 1/(x + 1)]  "d"x` is

Choose the correct alternative:

`int (2x^3)/(4 + x^4)  "d"x` is

Choose the correct alternative:

`int ("d"x)/sqrt(x^2 - 36) + "c"`

Choose the correct alternative:

`int (2x + 3)/sqrt(x^2 + 3x + 2)  "d"x` is