Definite integrals Calculator

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Difficult Problems

1

Example

$\int_{-125}^{\left|∞15\right|}\frac{1}{x^{\frac{1}{3}}}dx$
2

Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

$\int_{-125}^{\left|∞15\right|} x^{-\frac{1}{3}}dx$
3

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\left[\frac{3}{2}\sqrt[3]{x^{2}}\right]_{-125}^{\left|∞15\right|}$
4

Evaluate the definite integral

$\sqrt[3]{\left|∞15\right|^{2}}\cdot 1.5-1\cdot \sqrt[3]{\left(-125\right)^{2}}\cdot 1.5$
5

Multiply $\frac{3}{2}$ times $-1$

$\sqrt[3]{\left(-125\right)^{2}}\left(-1.5\right)+\sqrt[3]{\left|∞15\right|^{2}}\cdot 1.5$