Question
Evaluate the following:
$\int_0^{\pi / 4} \frac{\cos 2 x}{1+\cos 2 x+\sin 2 x} d x$
$\int_0^{\pi / 4} \frac{\cos 2 x}{1+\cos 2 x+\sin 2 x} d x$
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$\int \frac{3 x+4}{x^2+6 x+5} d x$
$\sec \left(\frac{x^5+y^5}{x^5-y^5}\right)=a^2$
$xy \frac{d y}{d x}= x ^2+2 y ^2, y (1)=0$