List of top Mathematics Questions on Methods of Integration asked in GUJCET

The general solution of the differential equation \( \frac{dy}{dx} = e^{x+y} \) is _____
\( \int \frac{e^{2025x} + e^{-2025x}}{e^{2025x} + e^{-2025x}} dx = \)_____ + C
\( \int e^x \left(\frac{1-x}{1+x^2}\right)^2 dx =\) _____ + C
\( \int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{dx}{1+\cot x} = \) _____