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Popular >

integral of (x+3)^7

Solution

\int (x + 3)^{7} d x

Solution

\frac{( x + 3 ) ^{8}}{8} + C

Solution steps

\int (x + 3)^{7} d x

Apply u-substitution

: \int u^{7} d u

= \int u^{7} d u

Apply the Power Rule

: \frac{u ^{8}}{8}

= \frac{u ^{8}}{8}

Substitute back

u = x + 3

= \frac{( x + 3 ) ^{8}}{8}

Add a constant to the solution

= \frac{( x + 3 ) ^{8}}{8} + C

Graph

Popular Examples

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\int \frac{5}{7 x} d x

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\int \frac{x}{225 x ^{2} - 1} d x

integral of (x^2e^x)/((2+x)^2)

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

integral of 1/(5-9y)

\int \frac{1}{5 - 9 y} d y

integral of xsqrt((x+9))

\int x (x + 9) d x

Frequently Asked Questions (FAQ)

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