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

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

Choose the correct alternative:

The gradient (slope) of a curve at any point (x, y) is `(x^2 - 4)/x^2`. If the curve passes through the point (2, 7), then the equation of the curve is

Choose the correct alternative:

`int ("e"^x (1 + x))/(cos^2(x"e"^x))  "d"x` is

Choose the correct alternative:

`int sqrt(tanx)/(sin2x)  "d"x` is

Choose the correct alternative:

`int sin^2x "d"x` is

Choose the correct alternative:

`int ("e"^(6 log x) - "e"^(5logx))/("e"^(4logx) - "e"^(3logx))  "d"x` is

Choose the correct alternative:

`int secx/sqrt(cos2x)  "d"x` is

Choose the correct alternative:

`int tan^-1 sqrt((1 - cos 2x)/(1 + cos 2x))  "d"x` is