Question

\int (a)/((a^(2) x^(2))^(2))dx,sub:x=atan\theta constant $$\int \frac{a}{(a^2+x^2)^2} dx$$ Sub: $$x = a \tan \theta$$

Name: int aa2 x22dxsubxatantheta constant int fracaa2x22 dx sub x a tan theta 48873
Uploaded: 2022-02-17T18:26:52-08:00
Duration: 3 min 53 s
Channel: M Hassan Anwar
Description: int aa2 x22dxsubxatantheta constant int fracaa2x22 dx sub x a tan theta 48873

          \int (a)/((a^(2) x^(2))^(2))dx,sub:x=atan\theta
constant
$$\int \frac{a}{(a^2+x^2)^2} dx$$
Sub: $$x = a \tan \theta$$

$int aa2 x22dxsubxatantheta constant int fracaa2x22 dx sub x a tan theta 48873$

Added by Milagros V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert M Hassan Anwar

02/17/2022

Step 1

Step 1: The problem asks to evaluate the integral $$\int \frac{a}{(a^2+x^2)^2} dx$$ using the substitution $$x = a \tan \theta$$. Show more…

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\int (a)/((a^(2) x^(2))^(2))dx,sub:x=atan\theta constant $$\int \frac{a}{(a^2+x^2)^2} dx$$ Sub: $$x = a \tan \theta$$

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\int (a)/((a^(2) x^(2))^(2))dx,sub:x=atan\theta constant $$\int \frac{a}{(a^2+x^2)^2} dx$$ Sub: $$x = a \tan \theta$$

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