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

Evaluate `int_0^(pi)e^2x.sin(pi/4+x)dx`

Find `intsqrtx/sqrt(a^3-x^3)dx`

Evaluate `int_(-1)^2|x^3-x|dx`

Integrate the following w.r.t. x `(x^3-3x+1)/sqrt(1-x^2)`

Evaluate :

`∫_(-pi)^pi (cos ax−sin bx)^2 dx`

Evaluate `int_1^3(e^(2-3x)+x^2+1)dx`  as a limit of sum.

If `f(x) =∫_0^xt sin t dt` , then write the value of f ' (x).

Evaluate :

`∫_0^π(4x sin x)/(1+cos^2 x) dx`

Evaluate :

`∫(x+2)/sqrt(x^2+5x+6)dx`

Evaluate : `int_2^3 3^x dx`

Find  `int dx/(x^2 + 4x + 8)`

Evaluate `int_0^(3/2) |x sin pix|dx`

Evaluate `int (cos 2x + 2sin^2x)/(cos^2x) dx`

Find `int (2cos x)/((1-sinx)(1+sin^2 x)) dx`

Evaluate `int_0^(pi/4) (sinx + cosx)/(16 + 9sin2x) dx`

Evaluate: `int_0^(pi/4) (dx)/(1 + tanx)`

Find: `int (dx)/(x^2 - 6x + 13)`

Evaluate: `int_0^(2π) (1)/(1 + e^(sin x)`dx

Anti-derivative of `(tanx - 1)/(tanx + 1)` with respect to x is ______.

Evaluate `int_(logsqrt(2))^(logsqrt(3)) 1/((e^x + e^-x)(e^x - e^-x)) dx`.