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Popular >

integral of 5/(33x)x^4

Solution

\int \frac{5}{33 x} x^{4} d x

Solution

\frac{5 x ^{4}}{132} + C

Solution steps

\int \frac{5}{33 x} x^{4} d x

Take the constant out:

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

= \frac{5}{33} \cdot \int \frac{1}{x} x^{4} d x

Simplify

\frac{1}{x} x^{4} : x^{3}

= \frac{5}{33} \cdot \int x^{3} d x

Apply the Power Rule

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

= \frac{5}{33} \cdot \frac{x ^{4}}{4}

Simplify

\frac{5}{33} \cdot \frac{x ^{4}}{4} : \frac{5 x ^{4}}{132}

= \frac{5 x ^{4}}{132}

Add a constant to the solution

= \frac{5 x ^{4}}{132} + C

Popular Examples

limit as t approaches 0 of-2t

t \to 0 lim (- 2 t)

integral of (-7sqrt(25x^2-9))/(x^3)

\int \frac{- 7 25 x ^{2} - 9}{x ^{3}} d x

limit as x approaches 0 of (1+2x)^{3/x}

x \to 0 lim ((1 + 2 x)^{\frac{3}{x}})

y^{''}-7y^'+14y=-784t^2

y^{^{''}} - 7 y^{^{'}} + 14 y = - 784 t^{2}

y^{''}+9y=3tan(3x)

y^{^{''}} + 9 y = 3 tan (3 x)

Frequently Asked Questions (FAQ)

What is the integral of 5/(33x)x^4 ?
The integral of 5/(33x)x^4 is (5x^4)/(132)+C