Arts (English Medium) Class 12 - CBSE Important Questions for Mathematics

Evaluate: `int_0^pi ("x"sin "x")/(1+ 3cos^2 "x") d"x"`.

Find : `int_  (2"x"+1)/(("x"^2+1)("x"^2+4))d"x"`.

Find: `int_  (3"x"+ 5)sqrt(5 + 4"x"-2"x"^2)d"x"`.

Find: `int sec^2 x /sqrt(tan^2 x+4) dx.`

Find: `intsqrt(1 - sin 2x) dx, pi/4 < x < pi/2`

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

Find: `int (3x +5)/(x^2+3x-18)dx.`

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

Find: `int (sin2x)/sqrt(9 - cos^4x) dx`

Evaluate: `int_(-1)^2 |x^3 - 3x^2 + 2x|dx`

If f'(x) = `x + 1/x`, then f(x) is ______.

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`