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Popular >

integral of 15x

Solution

\int 15 x d x

Solution

\frac{15 x ^{2}}{2} + C

Solution steps

\int 15 x d x

Take the constant out:

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

= 15 \cdot \int x d x

Apply the Power Rule

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

= 15 \cdot \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{15 x ^{2}}{2}

Add a constant to the solution

= \frac{15 x ^{2}}{2} + C

Popular Examples

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integral of (sqrt(u))/2

\int \frac{u}{2} d u

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\frac{\partial}{\partial x} (x^{2} sin (y) cos (y))

d/(dv)(u^2-v^2)

\frac{d}{d v} (u^{2} - v^{2})

Frequently Asked Questions (FAQ)

What is the integral of 15x ?
The integral of 15x is (15x^2)/2+C