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Popular Calculus >

integral of 3t^5

Solution

\int 3 t^{5} d t

Solution

\frac{t ^{6}}{2} + C

Solution steps

\int 3 t^{5} d t

Take the constant out:

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

= 3 \cdot \int t^{5} d t

Apply the Power Rule

= 3 \cdot \frac{t ^{6}}{6}

Simplify

3 \cdot \frac{t ^{6}}{6} : \frac{t ^{6}}{2}

= \frac{t ^{6}}{2}

Add a constant to the solution

= \frac{t ^{6}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3t^5 ?
The integral of 3t^5 is (t^6)/2+C