PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions

\[\frac{e^x}{1 + x^2}\] 

\[\frac{e^x + \sin x}{1 + \log x}\] 

\[\frac{x \tan x}{\sec x + \tan x}\]

\[\frac{x \sin x}{1 + \cos x}\]

\[\frac{2^x \cot x}{\sqrt{x}}\] 

\[\frac{\sin x - x \cos x}{x \sin x + \cos x}\]

\[\frac{x^2 - x + 1}{x^2 + x + 1}\] 

\[\frac{\sqrt{a} + \sqrt{x}}{\sqrt{a} - \sqrt{x}}\] 

\[\frac{a + \sin x}{1 + a \sin x}\] 

\[\frac{{10}^x}{\sin x}\] 

\[\frac{1 + 3^x}{1 - 3^x}\]

\[\frac{3^x}{x + \tan x}\] 

\[\frac{1 + \log x}{1 - \log x}\] 

\[\frac{4x + 5 \sin x}{3x + 7 \cos x}\]

\[\frac{x}{1 + \tan x}\] 

\[\frac{a + b \sin x}{c + d \cos x}\] 

\[\frac{p x^2 + qx + r}{ax + b}\]

\[\frac{\sec x - 1}{\sec x + 1}\] 

\[\frac{x^5 - \cos x}{\sin x}\] 

\[\frac{x + \cos x}{\tan x}\]