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Popular >

integral of (b+x)^3

Solution

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

Solution

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

Solution steps

\int (b + x)^{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 = b + x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^3)/1

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

integral of 2cos(e^x)-2xe^xsin(e^x)

\int 2 cos (e^{x}) - 2 x e^{x} sin (e^{x}) d x

integral of ((9x^3-7x+2))/(x^3-x^2)

\int \frac{( 9 x ^{3} - 7 x + 2 )}{x ^{3} - x ^{2}} d x

integral of (x^2+1)(x^3+3x)^{-5}

\int (x^{2} + 1) (x^{3} + 3 x)^{- 5} d x

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

\int \frac{ln ^{4} ( z )}{z} d z

Frequently Asked Questions (FAQ)

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