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Popular >

integral of (x^4)/x

Solution

\int \frac{x ^{4}}{x} d x

Solution

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

Solution steps

\int \frac{x ^{4}}{x} d x

Cancel the common factor:

x

= \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= \frac{x ^{4}}{4}

Add a constant to the solution

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

Popular Examples

(x^2+2)^2y=(5x(y^2+1)^2)/((x^2+2)y^')-(x^4+4x^2+4)y

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

(dy)/(dx)= 1/(x^4+4x^2)

\frac{d y}{d x} = \frac{1}{x ^{4} + 4 x ^{2}}

limit as x approaches 2 of sin(1/(x-2))

x \to 2 lim (sin (\frac{1}{x - 2}))

limit as x approaches infinity of (4x^2+5x)/(sqrt(10+x^4))

x \to \infty lim (\frac{4 x ^{2} + 5 x}{10 + x ^{4}})

3 y^{^{''}} - 12 y = 0

Frequently Asked Questions (FAQ)

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