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Step-by-step Solution

Integrate $x^{-1\left(\frac{3}{2}\right)}$ from $1$ to $nfi$

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Answer

$-2i^{-\frac{1}{2}}n^{-\frac{1}{2}}f^{-\frac{1}{2}}+2$

Step-by-step explanation

Problem to solve:

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

Multiply $-1$ times $1.5$

$\int_{1}^{nfi} x^{-\frac{3}{2}}dx$
2

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

$\left[-2x^{-\frac{1}{2}}\right]_{1}^{nfi}$

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Answer

$-2i^{-\frac{1}{2}}n^{-\frac{1}{2}}f^{-\frac{1}{2}}+2$
$\int_{1}^{in\cdot f} x^{-1\cdot \frac{3}{2}}dx$

Main topic:

Definite integrals

Time to solve it:

~ 0.9 seconds