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

Find the integrals of the function: \(tan^4x\)

Find the integrals of the function: \(tan^3 2x\, sec 2x\)

Find the integrals of the function: \(\frac{cos x - sin x}{1+sin 2x}\)

Find the integrals of the function: \(\frac{cos2 x-cos2 α}{cos x - cos α}\)

Find the integrals of the function: \(\frac{sin2 x}{1+cos x}\)

Find an anti derivative (or integral) of the following function by the method of inspection: (ax + b)²

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:Cos 3x

Find an anti derivative (or integral) of the following function by the method of inspection: sin 2x

Prove: \(∫^1_0sin^{-1}x\,dx=\frac{π}{2}-1\)

Prove: \(∫^{\frac{π}{4}}_0 2tan^3xdx=1-log2\)

Prove: \(∫^{\frac{π}{2}}_0 sin^3xdx=\frac{2}{3}\)

Prove: \(∫^1_{-1}x^{17}cos^{4}xdx\)

Prove: \(∫_0^1x.e^x\ dx=1\)

Prove: \(∫_1^3\frac {dx}{x^2(x+1)}=\frac 23+log\frac 23\)

Evaluate the definite integral: \(∫^π_0\frac{xtanx}{secx+tanx}dx\)

Evaluate the definite integral: \(∫_0^{\frac{π}{2}}sin2x\,tan^{-1}(sinx)dx\)

Evaluate the definite integral: \(\int_{0}^{\frac{\pi}{4}}\frac{sinx+cosx}{9+16sin2x}dx\)

Evaluate the definite integral: \(\int_{0}^{1}\frac{dx}{\sqrt{1+x}-\sqrt{x}}\)

Evaluate the definite integral: \(\int^{\frac{\pi}{6}}_{\frac{\pi}{3}}\frac{sinx+cosx}{\sqrt{sin2x}}dx\)

Evaluate the definite integral: \(\int_{0}^{\frac{\pi}{2}}\frac{cos^{2}xdx}{cos^{2}x+4sin^{2}x}\)

Evaluate the definite integral: \(\int_{0}^{\frac{\pi}{4}}(\frac{sinxcosx}{cos^{4}x+sin^{4}x})dx\)

Evaluate the definite integral: \(\int_{\pi}^{\frac{\pi}{2}}e^{x}(\frac{1-sinx}{1-cosx})dx\)

Integrate the function: \(\frac{\sqrt{x^{2}+1}[log(x^{2}+1)-2logx]}{x^{4}}\)

Integrate the function: \(tan^{-1}\sqrt{\frac{1-x}{1+x}}\)