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Popular >

integral of 3sqrt(t)

Solution

\int 3 t d t

Solution

2 t^{\frac{3}{2}} + C

Solution steps

\int 3 t d t

Take the constant out:

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

= 3 \cdot \int t d t

Apply the Power Rule

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

= 3 \cdot \frac{2}{3} t^{\frac{3}{2}}

Simplify

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

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

Add a constant to the solution

= 2 t^{\frac{3}{2}} + C

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Frequently Asked Questions (FAQ)

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