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1 ∫ -1 1 / 1 + x 2 dx

1-1 1 / 1 + x2 dx

Grade:12

1 Answers

Shobhit Varshney IIT Roorkee
askIITians Faculty 33 Points
6 years ago
Hi,

to solve this integration, put x = tan y
so, dx = sec2y dy, and the limits of y would be -\prod/4 to\prod/4
Now the integral becomes,
\int_{-\prod /4}^{\prod /4} [1/sec2y] * sec2y dy =\prod / 2

thanks

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