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Popular >

integral of (x-2)^6

Solution

\int (x - 2)^{6} d x

Solution

\frac{( x - 2 ) ^{7}}{7} + C

Solution steps

\int (x - 2)^{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 - 2

= \frac{( x - 2 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x - 2 ) ^{7}}{7} + C

Graph

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\int \frac{1}{a} e^{a x} d x

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\int cos (\frac{2 θ}{3}) d θ

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integral of ((x-3))/(x^2+1)

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

integral of (13x-4)/(6x^2-x-2)

\int \frac{13 x - 4}{6 x ^{2} - x - 2} d x

Frequently Asked Questions (FAQ)

What is the integral of (x-2)^6 ?
The integral of (x-2)^6 is ((x-2)^7)/7+C