What is the integral of (3a^7x^6) ?

The integral of (3a^7x^6) is (3a^7x^7)/7+C

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integral of (3a^7x^6)

\int (3 a^{7} x^{6}) d x

\frac{3 a ^{7} x ^{7}}{7} + C

Solution steps

\int 3 a^{7} x^{6} d x

Take the constant out:

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

= 3 a^{7} \cdot \int x^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= 3 a^{7} \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{3 a ^{7} x ^{7}}{7}

Add a constant to the solution

= \frac{3 a ^{7} x ^{7}}{7} + C

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