HSC Science (Electronics) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Evaluate the following:

`int x^2 sin 3x  dx`

Evaluate the following:

`int x tan^-1 x . dx`

Evaluate the following : `int x^2tan^-1x.dx`

Evaluate the following : `int x^3.tan^-1x.dx`

Evaluate the following:

`int sec^3x.dx`

Evaluate the following : `int x.sin^2x.dx`

Evaluate the following : `int x^3.logx.dx`

Evaluate the following : `int e^(2x).cos 3x.dx`

Evaluate the following: `int x.sin^-1 x.dx`

Evaluate the following : `int x^2*cos^-1 x*dx`

Evaluate the following : `int log(logx)/x.dx`

Evaluate the following : `int (t.sin^-1 t)/sqrt(1 - t^2).dt`

Evaluate the following : `int cos sqrt(x).dx`

Evaluate the following : `int sin θ.log (cos θ).dθ`

Evaluate the following : `int x.cos^3x.dx`

Evaluate the following : `int(sin(logx)^2)/x.log.x.dx`

Evaluate the following: `int logx/x.dx`

Evaluate the following:

`int x.sin 2x. cos 5x.dx`

Evaluate the following : `int cos(root(3)(x)).dx`

Integrate the following functions w.r.t. x : `e^(2x).sin3x`