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Popular Calculus >

integral of 9t^6

Solution

\int 9 t^{6} d t

Solution

\frac{9 t ^{7}}{7} + C

Solution steps

\int 9 t^{6} d t

Take the constant out:

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

= 9 \cdot \int t^{6} d t

Apply the Power Rule

= 9 \cdot \frac{t ^{7}}{7}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{9 t ^{7}}{7}

Add a constant to the solution

= \frac{9 t ^{7}}{7} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 9t^6 ?
The integral of 9t^6 is (9t^7)/7+C