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Grade 12Integral Calculus

¹∫_-1 1 / 1 + x² dx

taniska

11 Years agoGrade 12

1 Answer

Shobhit Varshney

11 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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