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Popular Calculus >

integral of 5x

Solution

integral

5 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

Popular Examples

integral of 3/7

\int \frac{3}{7} d x

integral of (x^2+2x-6)

\int (x^{2} + 2 x - 6) d x

integral of (x^3)/((2x^4+7)^2)

\int \frac{x ^{3}}{( 2 x ^{4} + 7 ) ^{2}} d x

integral of e^{5x+9}

\int e^{5 x + 9} d x

integral of xsqrt(8+x^2)

\int x 8 + x^{2} d x

Frequently Asked Questions (FAQ)

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