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Popular >

integral of (x+4)^6

Solution

\int (x + 4)^{6} d x

Solution

\frac{( x + 4 ) ^{7}}{7} + C

Solution steps

\int (x + 4)^{6} d x

Apply u-substitution

: \int u^{6} d u

= \int u^{6} d u

Apply the Power Rule

: \frac{u ^{7}}{7}

= \frac{u ^{7}}{7}

Substitute back

u = x + 4

= \frac{( x + 4 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x + 4 ) ^{7}}{7} + C

Graph

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\int \frac{64 - 16 x ^{2}}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (x+4)^6 ?
The integral of (x+4)^6 is ((x+4)^7)/7+C