Commerce (English Medium) कक्षा १२ - CBSE Question Bank Solutions

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

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

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

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

\[\int \sin^{- 1} \sqrt{\frac{x}{a + x}} \text{ dx }\]

\[\int\frac{x^3 \sin^{- 1} x^2}{\sqrt{1 - x^4}} \text{ dx }\]

\[\int e^x \left( \tan x - \log \cos x \right) dx\]

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

\[\int e^x \left( \cos x - \sin x \right) dx\]

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

\[\int e^x \left( \frac{1 + \sin x}{1 + \cos x} \right) dx\]

\[\int e^x \left( \cot x - {cosec}^2 x \right) dx\]

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

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

\[\int e^x \sec x \left( 1 + \tan x \right) dx\]

\[\int e^x \left[ \sec x + \log \left( \sec x + \tan x \right) \right] dx\]

\[\int e^x \left( \cot x + \log \sin x \right) dx\]

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

\[\int e^x \left( \frac{\sin 4x - 4}{1 - \cos 4x} \right) dx\]

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