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Popular >

integral of x^{-7/2}

Solution

\int x^{- \frac{7}{2}} d x

Solution

- \frac{2}{5 x ^{\frac{5}{2}}} + C

Solution steps

\int x^{- \frac{7}{2}} d x

Apply the Power Rule

: - \frac{2}{5 x ^{\frac{5}{2}}}

= - \frac{2}{5 x ^{\frac{5}{2}}}

Add a constant to the solution

= - \frac{2}{5 x ^{\frac{5}{2}}} + C

Popular Examples

integral of (t-4)/t

\int \frac{t - 4}{t} d t

integral of (e^{2x})/(36+e^{2x)}

\int \frac{e ^{2 x}}{36 + e ^{2 x}} d x

integral of sqrt(30x-9x^2-21)

\int 30 x - 9 x^{2} - 21 d x

integral of 1/(x^4+x^6)

\int \frac{1}{x ^{4} + x ^{6}} d x

integral of (x^2+x)*e^{1-2x}

\int (x^{2} + x) \cdot e^{1 - 2 x} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{-7/2} ?
The integral of x^{-7/2} is -2/(5x^{5/2)}+C