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Rewrite the integrand $\frac{\left(\sqrt{x}-2\right)^2}{\sqrt{x}}$ in expanded form
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{\sqrt{x}}-4+\frac{4}{\sqrt{x}}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(((x^1/2-2)^2)/(x^1/2))dx. Rewrite the integrand \frac{\left(\sqrt{x}-2\right)^2}{\sqrt{x}} in expanded form. Expand the integral \int\left(\frac{x}{\sqrt{x}}-4+\frac{4}{\sqrt{x}}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the fraction by x. The integral \int\sqrt{x}dx results in: \frac{2}{3}\sqrt{x^{3}}.