Definite integrals Calculator

Get detailed solutions to your math problems with our Definite integrals step by step calculator. Sharpen your math skills and learn step by step with our math solver. Check out more online calculators here.

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Difficult Problems

1

Solved example of Definite integrals

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

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

Evaluate the definite integral

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

Multiply $-1$ times $1.5$

$1.5\sqrt{\left|∞15\right|^{2}}+\sqrt{\left(-125\right)^{2}}-1.5$
6

Calculate the power using complex numbers

$1.5\sqrt{\left|∞15\right|^{2}}-37.5i$

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