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Popular >

integral of pix^4

Solution

\int π x^{4} d x

Solution

\frac{π x ^{5}}{5} + C

Solution steps

\int π x^{4} d x

Take the constant out:

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

= π \cdot \int x^{4} d x

Apply the Power Rule

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

= π \frac{x ^{5}}{5}

Multiply fractions:

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

= \frac{π x ^{5}}{5}

Add a constant to the solution

= \frac{π x ^{5}}{5} + C

Graph

Popular Examples

simplify (x^3)/3+ax^2+bx+2 simplify

\frac{x ^{3}}{3} + a x^{2} + b x + 2

area y=-x^2+16,y=-1/4 x-1,4(y+2.3)=2.3x area

y = - x^{2} + 16, y = - \frac{1}{4} x - 1, 4 (y + 2.3) = 2.3 x

integral of (22x^2)/(x^4-61x^2+900)

\int \frac{22 x ^{2}}{x ^{4} - 61 x ^{2} + 900} d x

limit as x approaches 7 of (7-x)/(7-x)

x \to 7 lim (\frac{7 - x}{7 - x})

limit as x approaches 6 of-110

x \to 6 lim (- 110)

Frequently Asked Questions (FAQ)

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