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Popular >

integral of 7t^8

Solution

\int 7 t^{8} d t

Solution

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

Solution steps

\int 7 t^{8} d t

Take the constant out:

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

= 7 \cdot \int t^{8} d t

Apply the Power Rule

: \frac{t ^{9}}{9}

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

Multiply fractions:

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

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

What is the integral of 7t^8 ?
The integral of 7t^8 is (7t^9)/9+C