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Popular >

integral of (5x)/2

Solution

\int \frac{5 x}{2} d x

Solution

\frac{5 x ^{2}}{4} + C

Solution steps

\int \frac{5 x}{2} d x

Take the constant out:

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

= \frac{5}{2} \cdot \int x d x

Apply the Power Rule

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

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

Simplify

\frac{5}{2} \cdot \frac{x ^{2}}{2} : \frac{5 x ^{2}}{4}

= \frac{5 x ^{2}}{4}

Add a constant to the solution

= \frac{5 x ^{2}}{4} + C

Popular Examples

integral of (32x)/(x^4-16)

\int \frac{32 x}{x ^{4} - 16} d x

(\partial)/(\partial x)(y^4cos(3x)*3)

\frac{\partial}{\partial x} (y^{4} cos (3 x) \cdot 3)

integral of (8x^3)/(x-5)

\int \frac{8 x ^{3}}{x - 5} d x

limit as x approaches 0 of ((x+2)^2-4)/x

x \to 0 lim (\frac{( x + 2 ) ^{2} - 4}{x})

f (x) = x e^{x} - e^{x}

Frequently Asked Questions (FAQ)

What is the integral of (5x)/2 ?
The integral of (5x)/2 is (5x^2)/4+C