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Popular >

integral of (x+2)^9

Solution

\int (x + 2)^{9} d x

Solution

\frac{( x + 2 ) ^{10}}{10} + C

Solution steps

\int (x + 2)^{9} d x

Apply u-substitution

: \int u^{9} d u

= \int u^{9} d u

Apply the Power Rule

: \frac{u ^{10}}{10}

= \frac{u ^{10}}{10}

Substitute back

u = x + 2

= \frac{( x + 2 ) ^{10}}{10}

Add a constant to the solution

= \frac{( x + 2 ) ^{10}}{10} + C

Popular Examples

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\int \frac{x ^{4} - x ^{3} - x - 4}{x ^{3} - x ^{2}} d x

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\int \frac{cos ^{5} ( 3 z )}{sin ^{2} ( 3 z )} d z

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\int \frac{1}{x ^{4} + x ^{3}} d x

integral of ((sqrt(x)-4)^7)/(sqrt(x))

\int \frac{( x - 4 ) ^{7}}{x} d x

integral of (ln(n^4))/n

\int \frac{ln ( n ^{4} )}{n}

Frequently Asked Questions (FAQ)

What is the integral of (x+2)^9 ?
The integral of (x+2)^9 is ((x+2)^{10})/(10)+C