Science (English Medium) इयत्ता १२ - CBSE Question Bank Solutions

Find an anti derivative (or integral) of the following function by the method of inspection.

Cos 3x

Find an anti derivative (or integral) of the following function by the method of inspection.

e^2x

Find an anti derivative (or integral) of the following function by the method of inspection.

(axe + b)²

Find an antiderivative (or integral) of the following function by the method of inspection.

sin 2x – 4 e^3x

Find the following integrals:

`int (4e^(3x) + 1)`

Find the following integrals:

`intx^2 (1 - 1/x^2)dx`

Find the following integrals:

`int (ax^2 + bx + c) dx`

Find the following integrals:

`int(2x^2 + e^x)dx`

Find the following integrals:

`int(sqrtx - 1/sqrtx)^2 dx`

Find the following integrals:

`int (x^3 + 5x^2   -4)/x^2 dx`

Find the following integrals:

`int (x^3 + 3x + 4)/sqrtx dx`

Find the following integrals:

`int (x^3 - x^2 + x - 1)/(x - 1) dx`

Find the following integrals:

`int(1 - x) sqrtx dx`

Find the following integrals:

`intsqrtx( 3x^2 + 2x + 3) dx`

Find the following integrals:

`int(2x - 3cos x + e^x) dx`

Find the following integrals:

`int(2x^2 - 3sinx + 5sqrtx) dx`

Find the following integrals:

`intsec x (sec x + tan x) dx`

Find the following integrals:

`int(sec^2x)/(cosec^2x) dx`

Find the following integrals:

`int (2 - 3 sinx)/(cos^2 x) dx.`

The anti derivative of `(sqrtx + 1/ sqrtx)` equals: