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Popular >

integral of (x-3)^6

Solution

\int (x - 3)^{6} d x

Solution

\frac{( x - 3 ) ^{7}}{7} + C

Solution steps

\int (x - 3)^{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 - 3

= \frac{( x - 3 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x - 3 ) ^{7}}{7} + C

Graph

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Frequently Asked Questions (FAQ)

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