Arts (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

\[\int\frac{\sin 2x}{a^2 + b^2 \sin^2 x} dx\]

\[\int\frac{x + 1}{x \left( x + \log x \right)} dx\]

\[\int\frac{1}{\sqrt{1 - x^2}\left( 2 + 3 \sin^{- 1} x \right)} dx\]

\[\int\frac{\sec^2 x}{\tan x + 2} dx\]

\[\int\frac{2 \cos 2x + \sec^2 x}{\sin 2x + \tan x - 5} dx\]

\[\int\frac{\sin 2x}{\sin 5x \sin 3x} dx\]

\[\int\frac{1 + \cot x}{x + \log \sin x} dx\]

` ∫  tan 2x tan 3x  tan 5x    dx  `

\[\int\left\{ 1 + \tan x \tan \left( x + \theta \right) \right\} dx\]

\[\int\frac{\sin 2x}{\sin \left( x - \frac{\pi}{6} \right) \sin \left( x + \frac{\pi}{6} \right)} dx\]

\[\int\frac{\log\left( 1 + \frac{1}{x} \right)}{x \left( 1 + x \right)} dx\]

\[\int\frac{\left( 1 + \sqrt{x} \right)^2}{\sqrt{x}} dx\]

\[\int\sqrt{1 + e^x} .  e^x dx\]

\[\int\frac{\tan x}{\sqrt{\cos x}} dx\]

\[\int\frac{\cos^3 x}{\sqrt{\sin x}} dx\]

\[\int \sin^5\text{ x }\text{cos x dx}\]

\[\int \tan^{3/2} x \sec^2 \text{x dx}\]

\[\int\left( 4x + 2 \right)\sqrt{x^2 + x + 1}  \text{dx}\]

\[\int\frac{1}{1 + \sqrt{x}} dx\]