definite integral

\mathbf{\int_{0}^{1}\frac{x^2+2}{(x^2+1)^3}dx}$

2 Answers

1
Abhinav Gupta ·

Put x=tant

106
Asish Mahapatra ·

x = tanθ

\int_{0}^{\pi /4}{\frac{2+tan^{2} \theta}{(1+tan^{2} \theta)^{3}}sec^{2} \theta d \theta}

\int_{0}^{\pi /4}{(cos^{4} \theta + cos^{2} \theta) d \theta}

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