Commerce (English Medium) Class 12 - CBSE Question Bank Solutions

Find the integrals of the function:

`(sin^2 x)/(1 + cos x)`

Find the integrals of the function:

`(cos 2x - cos 2 alpha)/(cos x - cos alpha)`

Find the integrals of the function:

`(cos x -  sinx)/(1+sin 2x)`

Find the integrals of the function:

tan³ 2x sec 2x

Find the integrals of the function:

tan⁴x

Find the integrals of the function:

`(sin^3 x + cos^3 x)/(sin^2x cos^2 x)`

Find the integrals of the function:

`(cos 2x+ 2sin^2x)/(cos^2 x)`

Find the integrals of the function:

`1/(sin xcos^3 x)`

Find the integrals of the function:

`(cos 2x)/(cos x + sin x)^2`

Find the integrals of the function:

sin⁻¹ (cos x)

Find the integrals of the function:

`1/(cos(x - a) cos(x - b))`

`int (sin^2x - cos^2 x)/(sin^2 x cos^2 x) dx` is equal to ______.

`int (e^x(1 +x))/cos^2(e^x x) dx` equals ______.

Find the particular solution of the differential equation `(x - y) dy/dx = (x + 2y)` given that y = 0 when x = 1.

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

Find  `int dx/(x^2 + 4x + 8)`

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

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

Prove that x² – y² = c(x² + y²)² is the general solution of the differential equation (x³ – 3xy²)dx = (y³ – 3x²y)dy, where C is parameter

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