List of top Mathematics Questions asked in Bihar Board Class XII

\(\int_0^{\frac{\pi}{2}} \sin x \cos x \, dx \)
\(\int \frac{4 \tan^{-1} x}{1 + x^2} \, dx \)
\(\int_{-1}^{1} \sin^7 x \cos^{13} x \, dx = ? \)
\(\int x^2 \, dx \)
\(\int_0^a \frac{x}{\sqrt{a^2 - x^2}} \, dx \)
\(\int_0^a \frac{dx}{\sqrt{x}} \)
\(\int_0^{\frac{\pi}{2}} \frac{dx}{\sqrt{\sin x + \cos x}} \)
\(\int_{0}^{\frac{\pi}{2}} \log (\tan x) \, dx = ? \)
\(\int \frac{\cos 2x}{\cos x + \sin x} dx \)
\(\frac{d}{dx} \left( \cos(\pi x + \sin \pi x) \right) \)
\(\int \tan \left( \tan^{-1} x \right) \, dx = ? \)
\(\int \frac{dx}{e^{-x}} \)
\(\int \log x^2 \, dx \)
\(\int (\sin 3x + 4 \sin^3 x) \, dx \)
\(\frac{d}{dx} \left[ 2 \tan^{-1} x \right] \)
\(\frac{d}{dx} \left[ \log x^2 + \log a^2 \right] \)
\(\frac{d}{dx} \left[ 2\sqrt{x} \right] \)
\(\frac{d}{dx} \left[ e^{x^2} \right] \)
\(\int \frac{dx}{x^2 + 4} \)
\(\frac{d}{dx} \left[ (1 - \cos 2x) + 2\cos^2 x \right] \)
\(\frac{d}{dx} \left( e^{2x} + 2e^x \right)\)
\(\frac{d}{dx} \left[ \lim_{x \to a} \frac{x^n + a^n}{x + a} \right] \)
\(\frac{d}{dx} \left( \sin^{-1} 2x \right)\)
\(\frac{d}{dx} \left[ (x+2)(x^2 - 2x + 4) \right] \)
\(\frac{d}{dx} \left(\sec^2 x - \tan^2 x\right)\)