List of top Mathematics Questions on integral asked in CBSE CLASS XII

Find the following integral: \(\int \sec x(\sec x +\tan x)dx\)

Find the following integral: \(\int (2x^2-3sinx+5\sqrt x)dx\)

Find the following integral: \(\int (2x-3\cos x +e^x)dx\)

Find the following integral: \(\int \sqrt x(3x^2+2x+3)dx\)

Find the following integral: \(\int (1-x)\sqrt xdx\)

Find the following integral: \(\int \frac{x^3-x^2+x-1}{x-1}dx\)

Find the following integral: \(\int \frac{x^3+3x+4}{\sqrt x}dx\)

Find the following integral: \(\int \frac{x^3+5x^2-4}{x^2}dx\)

Find the following integral: \(\int \bigg( \sqrt x - \frac{1}{\sqrt x}\bigg)^2dx\)

Find the following integral: \(\int x^2\bigg(1-\frac{1}{x}\bigg)dx\)

Find the following integral: \(\int(4e^{3x}+1)dx\)

\(∫_0^\frac{2}{3} \frac{dx}{4+9x^2}\) equals

\(∫_1^{\sqrt{3}}\frac{dx}{1+x^2}\)  equals

Evaluate the definite integral: \(∫^{\frac{\pi}{4}}_0 sin2xdx\)

By using the properties of definite integrals, evaluate the integral: \(\int_{0}^{4}|x-1|dx\)

Evaluate the integral: \(\int^1_0\frac{x}{x^2+1}dx\)

Evaluate the definite integral: \(∫_0^2\frac{6x+3}{x^2+4} dx\) 

Evaluate the definite integral: \(∫_0^\frac{π}{4}(2sec^2x+x^3+2)dx\)

Evaluate the definite integral: \(∫_0^1\frac{5x^2}{x2+4x+3}\)

Evaluate the definite integral as limit of sums: \(∫^1_0 xe^{x^2} dx\)

Evaluate the definite integral: \(∫^1_0 \frac{2x+3}{5x^2+1}dx\)

Evaluate the definite integral: \(∫_0^1 \frac{dx}{√1-x^2}\)

Evaluate the definite integral: \(∫_0^\frac{π}{2}cos2xdx\)

Integrate the function: \(tan^{-1}x\)