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Popular >

integral of 2/3 x^4

Solution

\int \frac{2}{3} x^{4} d x

Solution

\frac{2 x ^{5}}{15} + C

Solution steps

\int \frac{2}{3} x^{4} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{2}{3} \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{2}{3} \cdot \frac{x ^{5}}{5}

Simplify

\frac{2}{3} \cdot \frac{x ^{5}}{5} : \frac{2 x ^{5}}{15}

= \frac{2 x ^{5}}{15}

Add a constant to the solution

= \frac{2 x ^{5}}{15} + C

Graph

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\int x (x + 1)^{100} d x

tangent of f(x)=e^{5x},\at x= 1/5 ln(5)tangent of

f (x) = e^{5 x}, at x = \frac{1}{5} ln (5)

limit as x approaches 4-of (1-x)/(4-x)

x \to 4 - lim (\frac{1 - x}{4 - x})

integral of sqrt(x)ln(9x)

\int x ln (9 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 2/3 x^4 ?
The integral of 2/3 x^4 is (2x^5)/(15)+C