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Popular Calculus >

integral of 3a^7x^6

Solution

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

Solution

\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

= 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

Graph

Popular Examples

integral of (x+1)e^{-x}

\int (x + 1) e^{- x} d x

integral of xe^{0.2x}

\int x e^{0.2 x} d x

derivative of f(x)=x^3+3x

d er i v a t i v e f (x) = x^{3} + 3 x

derivative of f(x)=(x+9)/(x-9)

d er i v a t i v e f (x) = \frac{x + 9}{x - 9}

derivative of xcos(3x)

d er i v a t i v e x cos (3 x)

Frequently Asked Questions (FAQ)

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