# 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.

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### 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

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

Evaluate the definite integral

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

Multiply $-1$ times $1.5$

$1.5\sqrt[3]{\left|∞15\right|^{2}}+\sqrt[3]{\left(-125\right)^{2}}-1.5$
6

Calculate the power using complex numbers

$1.5\sqrt[3]{\left|∞15\right|^{2}}-37.5i$

### Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!