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Popular Calculus >

integral of 5x

Solution

\int 5 x d x

Solution

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

Solution steps

\int 5 x d x

Take the constant out:

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

= 5 \cdot \int x d x

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

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

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

Frequently Asked Questions (FAQ)

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