Arts (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

\[\int\cos x \sqrt{4 - \sin^2 x}\text{ dx}\]

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

\[\int\sqrt{9 - x^2}\text{ dx}\]

\[\int\sqrt{16 x^2 + 25} \text{ dx}\]

\[\int\sqrt{4 x^2 - 5}\text{ dx}\]

\[\int\sqrt{2 x^2 + 3x + 4} \text{ dx}\]

\[\frac{dy}{dx} + y \tan x = x^2 \cos^2 x\]

\[\left( 1 + x^2 \right)\frac{dy}{dx} + y = e^{tan^{- 1} x}\]

\[y^2 \frac{dx}{dy} + x - \frac{1}{y} = 0\]

\[\left( 2x - 10 y^3 \right)\frac{dy}{dx} + y = 0\]

\[\left( \sin x \right)\frac{dy}{dx} + y \cos x = 2 \sin^2 x \cos x\]

\[\left( x^2 - 1 \right)\frac{dy}{dx} + 2\left( x + 2 \right)y = 2\left( x + 1 \right)\]

\[x\frac{dy}{dx} + 2y = x \cos x\]

\[\frac{dy}{dx} - y = x e^x\]

\[\frac{dy}{dx} + 2y = x e^{4x}\]