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Popular >

integral of t^{-3/2}

Solution

\int t^{- \frac{3}{2}} d t

Solution

- \frac{2}{t ^{\frac{1}{2}}} + C

Solution steps

\int t^{- \frac{3}{2}} d t

Apply the Power Rule

: - \frac{2}{t ^{\frac{1}{2}}}

= - \frac{2}{t ^{\frac{1}{2}}}

Add a constant to the solution

= - \frac{2}{t ^{\frac{1}{2}}} + C

Graph

Popular Examples

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\int (sin^{2} (x))^{3} d x

integral of 8/(sqrt(9-9x^2))

\int \frac{8}{9 - 9 x ^{2}} d x

integral of (3/(x^2+1))

\int (\frac{3}{x ^{2} + 1}) d x

integral of ((x^2+2x-1))/(2x^3+3x^2-2x)

\int \frac{( x ^{2} + 2 x - 1 )}{2 x ^{3} + 3 x ^{2} - 2 x} d x

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

\int \frac{e ^{2 x} - 2 e ^{- x} + 1}{e ^{x}} d x

Frequently Asked Questions (FAQ)

What is the integral of t^{-3/2} ?
The integral of t^{-3/2} is -2/(t^{1/2)}+C