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Popular Calculus >

integral of x^4)

Solution

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

Solution

\frac{d x ^{5}}{5} + C

Solution steps

\int d x^{4} d x

Take the constant out:

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

= d \cdot \int x^{4} d x

Apply the Power Rule

= d \frac{x ^{5}}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{d x ^{5}}{5}

Add a constant to the solution

= \frac{d x ^{5}}{5} + C

Graph

Popular Examples

integral of (sqrt(-9x^2+4))/(x^2)

\int \frac{- 9 x ^{2} + 4}{x ^{2}} d x

integral of ((sqrt(x^2-16))/x)

\int (\frac{x ^{2} - 16}{x}) d x

integral of 2e^{8x}

\int 2 e^{8 x} d x

integral of (10x^3-5x)\sqrt[5]{x^4-x^2}

\int (10 x^{3} - 5 x) 5 x^{4} - x^{2} d x

integral of 8y^3

\int 8 y^{3} d y

Frequently Asked Questions (FAQ)

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