PUC Science इयत्ता ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

(ax + b) (a + d)²

(ax + b)ⁿ (cx + d)ⁿ 

\[\frac{x^2 + 1}{x + 1}\] 

\[\frac{2x - 1}{x^2 + 1}\] 

\[\frac{x + e^x}{1 + \log x}\] 

\[\frac{e^x - \tan x}{\cot x - x^n}\] 

\[\frac{a x^2 + bx + c}{p x^2 + qx + r}\] 

\[\frac{x}{1 + \tan x}\] 

\[\frac{1}{a x^2 + bx + c}\] 

\[\frac{e^x}{1 + x^2}\] 

\[\frac{e^x + \sin x}{1 + \log x}\] 

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

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

\[\frac{2^x \cot x}{\sqrt{x}}\] 

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

\[\frac{x^2 - x + 1}{x^2 + x + 1}\] 

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

\[\frac{a + \sin x}{1 + a \sin x}\] 

\[\frac{{10}^x}{\sin x}\] 

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