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Popular Calculus >

integral of (x+1)^6

Solution

\int (x + 1)^{6} d x

Solution

\frac{( x + 1 ) ^{7}}{7} + C

Solution steps

\int (x + 1)^{6} d x

Apply u-substitution

= \int u^{6} d u

Apply the Power Rule

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

Substitute back

u = x + 1

= \frac{( x + 1 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x + 1 ) ^{7}}{7} + C

Graph

Popular Examples

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\int (4 + 5 x)^{5} d x

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\int \frac{x}{x + 1} d x

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\int \frac{6 x + 8}{x ( x + 2 ) ^{2}} d x

integral of 9cos(pix)

\int 9 cos (π x) d x

integral of e^rr

\int e^{r} r d r

Frequently Asked Questions (FAQ)

What is the integral of (x+1)^6 ?
The integral of (x+1)^6 is ((x+1)^7)/7+C