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Popular >

integral of (x+4)^3

Solution

\int (x + 4)^{3} d x

Solution

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

Solution steps

\int (x + 4)^{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 + 4

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(2x^2cos(xy))

\frac{\partial}{\partial x} (2 x^{2} cos (x y))

tangent of f(x)=(x^2+36)(2x+21),\at x=-4 tangent of

f (x) = (x^{2} + 36) (2 x + 21), at x = - 4

integral of (cosh(x))/(sinh(x))

\int \frac{cosh ( x )}{sinh ( x )} d x

limit as x approaches 0+of 2/(3x^{1/3)}

x \to 0 + lim (\frac{2}{3 x ^{\frac{1}{3}}})

derivative of f(x)=-4x^2 derivative of

f (x) = - 4 x^{2}

Frequently Asked Questions (FAQ)

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