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Popular >

integral of 8te^7t

Solution

\int 8 t e^{7} t d t

Solution

\frac{8 e ^{7} t ^{3}}{3} + C

Solution steps

\int 8 t e^{7} t d t

Take the constant out:

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

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

Simplify

tt : t^{2}

= 8 e^{7} \cdot \int t^{2} d t

Apply the Power Rule

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

= 8 e^{7} \frac{t ^{3}}{3}

Multiply fractions:

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

= \frac{8 e ^{7} t ^{3}}{3}

Add a constant to the solution

= \frac{8 e ^{7} t ^{3}}{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 8te^7t ?
The integral of 8te^7t is (8e^7t^3)/3+C