What is the integral of pisqrt(t) ?

The integral of pisqrt(t) is pi 2/3 t^{3/2}+C

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integral of pisqrt(t)

\int π t d t

π \frac{2}{3} t^{\frac{3}{2}} + C

Solution steps

\int π t d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int t d t

Apply the Power Rule

: \frac{2}{3} t^{\frac{3}{2}}

= π \frac{2}{3} t^{\frac{3}{2}}

Add a constant to the solution

= π \frac{2}{3} t^{\frac{3}{2}} + C

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