NCERT Solutions
Class 12 - Mathematics Part-2 - Chapter 7: INTEGRALS

Exercise 7.8

Evaluate \(\int_{-1}^{1} (x+1)\,dx\).

Evaluate \(\int_{2}^{3} \frac{1}{x}\,dx\).

Evaluate \(\int_{1}^{2} (4x^3-5x^2+6x+9)\,dx\).

Evaluate \(\int_{0}^{\pi/4} \sin 2x\,dx\).

Evaluate \(\int_{0}^{\pi/2} \cos 2x\,dx\).

Evaluate \(\int_{4}^{5} e^x\,dx\).

Evaluate \(\int_{0}^{\pi/4} \tan x\,dx\).

Evaluate \(\int_{\pi/6}^{\pi/4} \cosec x\,dx\).

Evaluate \(\int_{0}^{1} \frac{dx}{\sqrt{1-x^2}}\).

Evaluate \(\int_{0}^{1} \frac{dx}{1+x^2}\).

Evaluate \(\int_{2}^{3} \frac{dx}{x^2-1}\).

Evaluate \(\int_{0}^{\pi/2} \cos^2 x\,dx\).

Evaluate \(\int_{2}^{3} \frac{x\,dx}{x^2+1}\).

Evaluate \(\int_{0}^{1} \frac{2x+3}{5x^2+1}\,dx\).

Evaluate \(\int_{0}^{1} x e^{x^2}\,dx\).

Evaluate \(\int_{1}^{2} \frac{5x^2}{x^2+4x+3}\,dx\).

Evaluate \(\int_{0}^{\pi/4} (2\sec^2 x+x^3+2)\,dx\).

Evaluate \(\int_{0}^{\pi} \left(\sin^2\frac{x}{2}-\cos^2\frac{x}{2}\right)\,dx\).

Evaluate \(\int_{0}^{2} \frac{6x+3}{x^2+4}\,dx\).

Evaluate \(\int_{0}^{1} \left(x e^x+\sin\frac{\pi x}{4}\right)\,dx\).