List of top Mathematics Questions on Integration asked in Bihar Board XII

Find the integral of \( \frac{(\sqrt{x+1})^2}{x\sqrt{x + 2x + \sqrt{x}}} \).
Find the integral: \[ \int e^{3x} \, dx \]
Find the integral: \[ \int x^m \cdot x^n \, dx \]
Evaluate the integral: \[ \int e^{2x} \, dx \]
Find the integral of \( e^x \) from 0 to 2.
Find the integral of \( 2x + 1 \).
Find the integral of \( \sin^{13} x \cos^{12} x \).
\(\int \frac{x-3}{x^2-9} \, dx\)
\(\int_0^1 (x + 2x + 3x^2 + 4x^3) \, dx \)
\(\int_{-1}^1 \sin x \cos^3 x \, dx \)
\(\int_0^1 x^{99} \, dx \)
\(\int_1^9 \frac{dx}{\sqrt{x}} \)
\(\int \frac{dx}{x \log x} \)
\(\int_0^a e^x \, dx \)
\(\int_0^{\frac{\pi}{2}} \sin x \cos x \, dx \)
\(\int_{-1}^{1} \sin^7 x \cos^{13} x \, dx = ? \)
\(\int x^2 \, dx \)
\(\int_0^a \frac{x}{\sqrt{a^2 - x^2}} \, dx \)
\(\int_0^a \frac{dx}{\sqrt{x}} \)
\(\int_0^{\frac{\pi}{2}} \frac{dx}{\sqrt{\sin x + \cos x}} \)
\(\int_{0}^{\frac{\pi}{2}} \log (\tan x) \, dx = ? \)
\(\int \tan \left( \tan^{-1} x \right) \, dx = ? \)
\(\int \frac{dx}{e^{-x}} \)
\(\int \log x^2 \, dx \)
\(\int (\sin 3x + 4 \sin^3 x) \, dx \)