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Integral of (7x^3)/((x^4-2)^4)

\int\frac{7x^3}{\left(x^4-2\right)^4}dx

Step by step solution

Problem

$\int\frac{7x^3}{\left(x^4-2\right)^4}dx$

Show full step-by-step solution

Answer

$\sqrt[3]{2}\int\frac{\sec\left(\theta\right)^3\frac{d}{d\theta}\left(\sqrt{2}\sec\left(\theta\right)\right)}{\left(2\sec\left(\theta\right)^4-1\right)^4}d\theta$

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$\int\frac{7x^3}{\left(x^4-2\right)^4}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

0

Time to solve it:

0.48 seconds