Definite integrals by subsitution

Definite integrals by subsitution

IB Year 6 | Grade 12

Find \(\displaystyle \displaystyle \displaystyle\int_{0}^{1} \frac{\mathrm{d}x}{(1+x^2)^2}\). Leave your answer in exact form.

Solution:

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Answer:\(\frac14+\frac\pi8\).

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