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Popular >

integral of (x+5)^6

Solution

\int (x + 5)^{6} d x

Solution

\frac{( x + 5 ) ^{7}}{7} + C

Solution steps

\int (x + 5)^{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 + 5

= \frac{( x + 5 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x + 5 ) ^{7}}{7} + C

Graph

Popular Examples

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\int \frac{x ^{3} - 4 x}{( x ^{2} + 1 ) ^{2}} d x

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

integral of ((sqrt(x)+7)^6)/(2sqrt(x))

\int \frac{( x + 7 ) ^{6}}{2 x} d x

integral of cos(pi/2-x)

\int cos (\frac{π}{2} - x) d x

integral of (2-x)/(9x^4+x^2)

\int \frac{2 - x}{9 x ^{4} + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (x+5)^6 ?
The integral of (x+5)^6 is ((x+5)^7)/7+C