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

By using the properties of definite integrals, evaluate the integral: \(∫^\frac{π}{2}_\frac{-π}{2}sin^2xdx\)

By using the properties of definite integrals, evaluate the integral: \(∫^\frac{π}{2}_0(2logsinx-logsin2x)dx\)

By using the properties of definite integrals, evaluate the integral: \(∫^2_0 x\sqrt{2-x}dx\)

By using the properties of definite integrals, evaluate the integral: \(∫_0^{\frac \pi4} log(1+tanx)dx\)

By using the properties of definite integrals, evaluate the integral: \(\int^1_0x(1-x)^n\,dx\)

By using the properties of definite integrals, evaluate the integral: \(\int_{2}^{8} |x-5| \,dx\)

By using the properties of definite integrals, evaluate the integral: \(\int_{-5}^{5} |x+2|\,dx\)

By using the properties of definite integrals, evaluate the integral: \(∫^{\frac{π}{2}}_0\frac{cos^5xdx}{sin^5x+cos^5x}\)

By using the properties of definite integrals, evaluate the integral: \(\int^{\frac{π}{2}}_0 \frac{sin^{\frac{3}{2}}xdx}{sin^{\frac{3}{2}}x+cos^{\frac{3}{2}}x}\)

By using the properties of definite integrals, evaluate the integral: \(∫_0^\frac{π}{2}\frac{\sqrt{sinx}}{\sqrt{sinx}+\sqrt{cosx}}dx\)

By using the properties of definite integrals, evaluate the integral: \(∫_0^{\frac \pi2}cos^2x\ dx\)

Evaluate the integral: \(∫_1^2(\frac 1x-\frac {1}{2x^2})e^{2x}\ dx\)

Evaluate the integral: \(∫_{-1}^1\frac {dx}{x^2+2x+5}\)

Evaluate the integral: \(\int_{0}^{2}\frac{dx}{x+4-x^2}\)

Evaluate the integral: \(∫_0^{\frac \pi2} \frac {sinx}{1+cos^2x}dx\)

Evaluate the integral: \(\int^2_0 x\sqrt{x+2}\)

Evaluate the integral: \(\int_{0}^{4} \sin^{-1} \frac{2x}{1+x^2}\,dx\)

Evaluate the integral: \(\int_{0}^{π/2} \sqrt{\sin \phi}\cos^5 \phi\, d\,\phi\)

Evaluate the definite integral: \(∫_0^1(xe^x+sin\frac{πx}{4})dx\)

Evaluate the definite integral: \(∫_0^π(sin^2\frac{x}{2}-cos^2\frac{x}{2})dx\)

Evaluate the definite integral: \(∫^3_2\frac{xdx}{x^2+1}\)

Evaluate the definite integral: \(∫^3_2 \frac{dx}{x^2-1}\)

Evaluate the definite integral: \(∫_1^0\frac{dx}{1+x^2}\)

Evaluate the definite integral: \(∫^\frac{π}{4}_\frac{π}{6} cosec x dx\)

Evaluate the definite integral: \(∫_0^\frac{π}{4} tanxdx\)