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Popular >

integral of (x-5)^3

Solution

\int (x - 5)^{3} d x

Solution

\frac{( x - 5 ) ^{4}}{4} + C

Solution steps

\int (x - 5)^{3} d x

Apply u-substitution

: \int u^{3} d u

= \int u^{3} d u

Apply the Power Rule

: \frac{u ^{4}}{4}

= \frac{u ^{4}}{4}

Substitute back

u = x - 5

= \frac{( x - 5 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x - 5 ) ^{4}}{4} + C

Graph

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\int \frac{cos ( x )}{1 + 3 sin ( x )} d x

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\int x^{2} x^{3} - 12 d x

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\int cos (14 x) d x

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\int x ln (x^{2}) d x

integral of (sqrt(x+1))/(sqrt(x+1)+1)

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

Frequently Asked Questions (FAQ)

What is the integral of (x-5)^3 ?
The integral of (x-5)^3 is ((x-5)^4)/4+C