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Popular >

integral of (x+3)^3

Solution

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

Solution

\frac{( x + 3 ) ^{4}}{4} + C

Solution steps

\int (x + 3)^{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 + 3

= \frac{( x + 3 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x + 3 ) ^{4}}{4} + C

Popular Examples

integral of 2x(x^2+2)^2

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

integral of 3cos^2(x)

\int 3 cos^{2} (x) d x

f(x)=xsin(x)+cos(x)

f (x) = x sin (x) + cos (x)

(\partial)/(\partial x)(sin(3x+yz))

\frac{\partial}{\partial x} (sin (3 x + yz))

integral from 3 to infinity of 8/(x^2-x)

\int_{3}^{\infty} \frac{8}{x ^{2} - x} d x

Frequently Asked Questions (FAQ)

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