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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

(x^2+1)(dy)/(dx)+5x(y-1)=0,y(0)=4

(x^{2} + 1) \frac{d y}{d x} + 5 x (y - 1) = 0, y (0) = 4

integral of (sin(2x))/(sqrt(1+cos^2(x)))

\int \frac{sin ( 2 x )}{1 + cos ^{2} ( x )} d x

derivative of 4x^3-x

\frac{d}{d x} (4 x^{3} - x)

derivative of (x^{2/3}+3(x^{1/3}+5x))

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

(dy)/(dx)=(sec(y))/((x+5)^2)

\frac{d y}{d x} = \frac{sec ( y )}{( x + 5 ) ^{2}}

Frequently Asked Questions (FAQ)

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