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Popular >

integral of 8x^6

Solution

\int 8 x^{6} d x

Solution

\frac{8 x ^{7}}{7} + C

Solution steps

\int 8 x^{6} d x

Take the constant out:

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

= 8 \cdot \int x^{6} d x

Apply the Power Rule

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

= 8 \cdot \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{8 x ^{7}}{7}

Add a constant to the solution

= \frac{8 x ^{7}}{7} + C

Popular Examples

integral of e^{3x}+sin(x)

\int e^{3 x} + sin (x) d x

integral of 4/(3-2x)

\int \frac{4}{3 - 2 x} d x

integral of e^{-\sqrt[3]{x}}

integral of 1/(sqrt(2x+1)-\sqrt{x)}

\int \frac{1}{2 x + 1 - x} d x

integral of sin((6x)/5)

\int sin (\frac{6 x}{5}) d x

Frequently Asked Questions (FAQ)

What is the integral of 8x^6 ?
The integral of 8x^6 is (8x^7)/7+C