PUC Science 2nd PUC Class 12 - Karnataka Board PUC Question Bank Solutions for Mathematics

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

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

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

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

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

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

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

 

 

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

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

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

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

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

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

\[\int \tan^5 x\ dx\]

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

\[\int \cot^5 x\ dx\]

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

\[\int x\sqrt{2x + 3} \text{ dx }\]