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Popular >

integral of (x-5)^7

Solution

\int (x - 5)^{7} d x

Solution

\frac{( x - 5 ) ^{8}}{8} + C

Solution steps

\int (x - 5)^{7} d x

Apply u-substitution

: \int u^{7} d u

= \int u^{7} d u

Apply the Power Rule

: \frac{u ^{8}}{8}

= \frac{u ^{8}}{8}

Substitute back

u = x - 5

= \frac{( x - 5 ) ^{8}}{8}

Add a constant to the solution

= \frac{( x - 5 ) ^{8}}{8} + C

Graph

Popular Examples

integral of e^{3p-7}

\int e^{3 p - 7} d p

integral of (x^5+3)/(x^2-3x+2)

\int \frac{x ^{5} + 3}{x ^{2} - 3 x + 2} d x

integral of (6x+5)/(x^2+1)

\int \frac{6 x + 5}{x ^{2} + 1} d x

integral of (x^7+2)^2

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

integral of (5x-23)/(x^2-9x+20)

\int \frac{5 x - 23}{x ^{2} - 9 x + 20} d x

Frequently Asked Questions (FAQ)

What is the integral of (x-5)^7 ?
The integral of (x-5)^7 is ((x-5)^8)/8+C