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Popular >

integral of (x+10)^3

Solution

\int (x + 10)^{3} d x

Solution

\frac{( x + 10 ) ^{4}}{4} + C

Solution steps

\int (x + 10)^{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 + 10

= \frac{( x + 10 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x + 10 ) ^{4}}{4} + C

Popular Examples

integral of ln(x^2)+1

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

integral of (3x+1)/(x^3+4x^2+5x)

\int \frac{3 x + 1}{x ^{3} + 4 x ^{2} + 5 x} d x

integral of (sin(4x))/(sin(2x)cos^2(2x))

\int \frac{sin ( 4 x )}{sin ( 2 x ) cos ^{2} ( 2 x )} d x

integral of (1/(x-5))

\int (\frac{1}{x - 5}) d x

integral of 2sec^6(10x)

\int 2 sec^{6} (10 x) d x

Frequently Asked Questions (FAQ)

What is the integral of (x+10)^3 ?
The integral of (x+10)^3 is ((x+10)^4)/4+C