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Popular >

integral of (x-3)^5

Solution

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

Solution

\frac{( x - 3 ) ^{6}}{6} + C

Solution steps

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

Apply u-substitution

: \int u^{5} d u

= \int u^{5} d u

Apply the Power Rule

: \frac{u ^{6}}{6}

= \frac{u ^{6}}{6}

Substitute back

u = x - 3

= \frac{( x - 3 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x - 3 ) ^{6}}{6} + C

Popular Examples

integral of 1/(x^2-2x-15)

\int \frac{1}{x ^{2} - 2 x - 15} d x

integral of x^2e^{-3x+1}

\int x^{2} e^{- 3 x + 1} d x

integral of x/(pix+2)

\int \frac{x}{π x + 2} d x

integral of (4+1/x)

\int (4 + \frac{1}{x}) d x

integral of sqrt(5-16x^2)

\int 5 - 16 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of (x-3)^5 ?
The integral of (x-3)^5 is ((x-3)^6)/6+C