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(Solved): 1. Evaluate each improper integral a. \( \int_{0}^{\infty} \frac{d x}{x^{2}+1} \) b. \( \int_{0}^{ ...



1. Evaluate each improper integral
a. \( \int_{0}^{\infty} \frac{d x}{x^{2}+1} \)
b. \( \int_{0}^{\infty} e^{-x} d x \)
C. \(

1. Evaluate each improper integral a. \( \int_{0}^{\infty} \frac{d x}{x^{2}+1} \) b. \( \int_{0}^{\infty} e^{-x} d x \) C. \( \int_{-\infty}^{-2} \frac{2 d x}{x^{2}-1} \)


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(a) Given integral; I=?0?dxx2+1 It is a improper integral of first kind. I=limb???0bdxx2+1 I=limb??[tan?1x]0b I=limb??[tan?1b?tan?10] I=[tan?1??tan?10
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