# Integrate ^2^2 from 1 to it*f*n*i*e

## \int_{1}^{e in\cdot f\cdot i\cdot t}\left(^{2}\right)^2dx

Go!
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0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/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

$0$

## Step by step solution

Problem

$\int_{1}^{e in\cdot f\cdot i\cdot t}\left(^{2}\right)^2dx$
1

Applying the power of a power property

$\int_{1}^{et\cdot f\cdot nii}^{4}dx$
2

When multiplying exponents with same base you can add the exponents

$\int_{1}^{e\cdot i^2t\cdot f\cdot n}^{4}dx$
3

Applying the property of complex numbers: $i^2=-1$

$\int_{1}^{e\left(-1\right)t\cdot f\cdot n}^{4}dx$
4

Multiply $-1$ times $e$

$\int_{1}^{-et\cdot f\cdot n}^{4}dx$
5

The integral of a constant is equal to the constant times the integral's variable

$\left[^{4}x\right]_{1}^{-et\cdot f\cdot n}$
6

Evaluate the definite integral

$^{4}x-1\cdot ^{4}x$
7

Factoring by $x$

$\left(^{4}-1\cdot ^{4}\right)x$
8

Subtracting $^{4}$ and $^{4}$

$0x$
9

Any expression multiplied by $0$ is equal to $0$

$0$

$0$

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### Main topic:

Integral calculus

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