Find the integral int((6x^3)/(x^4+8x^2+16))dx

 Exercise

$\int\frac{6x^3}{x^4+8x^2+16}dx$

 Step-by-step Solution

Learn how to solve simplify trigonometric expressions problems step by step online. Find the integral int((6x^3)/(x^4+8x^2+16))dx. Rewrite the expression \frac{6x^3}{x^4+8x^2+16} inside the integral in factored form. Take out the constant 6 from the integral. Rewrite the fraction \frac{x^3}{\left(x^{2}+4\right)^{2}} in 2 simpler fractions using partial fraction decomposition. Simplify the expression.

Final answer to the exercise  

$6\ln\left|\sqrt{x^{2}+4}\right|+\frac{12}{x^{2}+4}+C_1$

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Integrate by partial fractions
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Product of Binomials with Common Term
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 Exercise

 Step-by-step Solution

 Final answer to the exercise  

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Final answer to the exercise  