Science (English Medium) इयत्ता १२ - CBSE Important Questions for Mathematics

The value of `int_2^3 x/(x^2 + 1)`dx is ______.

Find: `int (dx)/sqrt(3 - 2x - x^2)`

Evaluate: `int_(pi/6)^(pi/3) (dx)/(1 + sqrt(tanx)`

Find `int (dx)/sqrt(4x - x^2)`

Find: `int e^x.sin2xdx`

Find: `int (2x)/((x^2 + 1)(x^2 + 2)) dx`

Evaluate: `int_0^(π/2) 1/(1 + (tanx)^(2/3)) dx`

Evaluate: `int_1^3 sqrt(x)/(sqrt(x) + sqrt(4) - x) dx`

Evaluate: `int_(-1)^3 |x^3 - x|dx`

Evaluate: `int_((-π)/2)^(π/2) (sin|x| + cos|x|)dx`

Evaluate `int_-1^1 |x^4 - x|dx`.

Find `int (sin^-1x)/(1 - x^2)^(3//2) dx`.

Find `int e^x ((1 - sinx)/(1 - cosx))dx`.

If `int_0^(2π) cos^2 x  dx = k int_0^(π/2) cos^2 x  dx`, then the value of k is ______.

Find `int (x + 2)/sqrt(x^2 - 4x - 5) dx`.

Evaluate `int_-a^a f(x) dx`, where f(x) = `9^x/(1 + 9^x)`.

If `d/dx f(x) = 2x + 3/x` and f(1) = 1, then f(x) is ______.

Find: `int x^4/((x - 1)(x^2 + 1))dx`.

The value of `int_0^(π/4) (sin 2x)dx` is ______.

Evaluate: `int_(-π//4)^(π//4) (cos 2x)/(1 + cos 2x)dx`.