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Popular >

integral of ax^7

Solution

\int a x^{7} d x

Solution

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

Solution steps

\int a x^{7} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{8}}{8}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of (cot(t)csc(t))/(csc^7(t))

\int \frac{cot ( t ) csc ( t )}{csc ^{7} ( t )} d t

integral of-tan(2x+1)ln(cos(2x+1))

\int - tan (2 x + 1) ln (cos (2 x + 1)) d x

integral of (2x-7)/(x^2-12x+32)

\int \frac{2 x - 7}{x ^{2} - 12 x + 32} d x

integral of (e^{3x})/((e^x+1)^2)

\int \frac{e ^{3 x}}{( e ^{x} + 1 ) ^{2}} d x

integral of ((4x^3))/(x^4+1)

\int \frac{( 4 x ^{3} )}{x ^{4} + 1} d x

Frequently Asked Questions (FAQ)

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