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

\[\int \sec^2 x \cos^2 2x \text{ dx }\]

\[\int \text{cosec}^2 x \text{ cos}^2 \text{  2x  dx} \]

\[\int \sin^4 2x\ dx\]

\[\int \cos^3 (3x)\ dx\]

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

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

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

\[\int\frac{1}{e^x + 1} \text{ dx }\]

\[\int\frac{e^x - 1}{e^x + 1} \text{ dx}\]

\[\int\frac{1}{e^x + e^{- x}} dx\]

\[\int\frac{\sin x + \cos x}{\sqrt{\sin 2x}} \text{ dx}\]

\[\int\frac{\sin x - \cos x}{\sqrt{\sin 2x}} \text{ dx }\]

 

 

\[\int\frac{1}{\text{ sin} \left( x - a \right) \text{ sin } \left( x - b \right)} \text{ dx }\]

\[\int\frac{1}{\text{ cos }\left( x - a \right) \text{ cos }\left( x - b \right)} \text{ dx }\]

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

\[\int\frac{\sin x}{\cos 2x} \text{ dx }\]

\[\int \tan^3 x\ dx\]

\[\int \tan^4 x\ dx\]