# Integrate x^(-13/2) from 1 to nf*i

## \int_{1}^{in\cdot f} x^{\left(-1\right)\cdot \frac{3}{2}}dx

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e
π
ln
log
lim
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d/dx
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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## Step by step solution

Problem

$\int_{1}^{in\cdot f} x^{\left(-1\right)\cdot \frac{3}{2}}dx$
1

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

$\int_{1}^{f\cdot ni} x^{-\frac{3}{2}}dx$
2

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

$\left[-2x^{-\frac{1}{2}}\right]_{1}^{f\cdot ni}$
3

Evaluate the definite integral

$-2x^{-\frac{1}{2}}-1\left(-2\right)x^{-\frac{1}{2}}$
4

Multiply $-2$ times $-1$

$2x^{-\frac{1}{2}}-2x^{-\frac{1}{2}}$
5

Adding $-2x^{-\frac{1}{2}}$ and $2x^{-\frac{1}{2}}$

$0x^{-\frac{1}{2}}$
6

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

$0$

$0$

### Main topic:

Integral calculus

0.25 seconds

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