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- Integrate by partial fractions
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Rewrite the integrand $5\left(\frac{3}{2\sqrt{x}}+\frac{-9}{2\sqrt{x^{3}}}\right)\left(3\sqrt{x}+\frac{9}{\sqrt{x}}\right)$ in expanded form
Learn how to solve integrals with radicals problems step by step online.
$\int\frac{5\left(9x^2-81\right)}{2x^2}dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(5(3/(2x^(1/2))+-9/(2x^(3/2)))(3x^(1/2)+9/(x^(1/2))))dx. Rewrite the integrand 5\left(\frac{3}{2\sqrt{x}}+\frac{-9}{2\sqrt{x^{3}}}\right)\left(3\sqrt{x}+\frac{9}{\sqrt{x}}\right) in expanded form. Take out the constant 5 from the integral. Take the constant \frac{1}{2} out of the integral. Multiply the fraction and term in 5\cdot \left(\frac{1}{2}\right)\int\frac{9x^2-81}{x^2}dx.
