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

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

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

\[\int\frac{\sin \left( \text{log x} \right)}{x} dx\]

\[\int\frac{e^{m \tan^{- 1} x}}{1 + x^2} dx\]

\[\int\frac{x}{\sqrt{x^2 + a^2} + \sqrt{x^2 - a^2}} dx\]

` ∫    x   {tan^{- 1} x^2}/{1 + x^4} dx`

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

\[\int\frac{\text{sin }\left( \text{2 + 3 log x }\right)}{x} dx\]

\[\  ∫    x   \text{ e}^{x^2} dx\]

\[\int\frac{e^{2x}}{1 + e^x} dx\]

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

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

\[\int\frac{x + \sqrt{x + 1}}{x + 2} dx\]

\[\int 5^{5^{5^x}} 5^{5^x} 5^x dx\]

\[\int\sqrt {e^x- 1}  \text{dx}\] 

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

\[\int\frac{x^5}{\sqrt{1 + x^3}} dx\]

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

\[\int\frac{1}{x^2 \left( x^4 + 1 \right)^{3/4}} dx\]

\[\int\frac{\sin^5 x}{\cos^4 x} \text{ dx }\]