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Popular >

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

: \frac{x ^{2}}{2}

= 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

Popular Examples

integral of sqrt(1+((x-1)^2)/(4x))

\int 1 + \frac{( x - 1 ) ^{2}}{4 x} d x

limit as x approaches-infinity of 2e^x

x \to - \infty lim (2 e^{x})

derivative of Ax+B

\frac{d}{d x} (A x + B)

4 d y + y d x = x^{2} d y

y^{^{'}} = 2 x - 3 y + 1

Frequently Asked Questions (FAQ)

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