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Popular >

integral of 13x

Solution

\int 13 x d x

Solution

\frac{13 x ^{2}}{2} + C

Solution steps

\int 13 x d x

Take the constant out:

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

= 13 \cdot \int x d x

Apply the Power Rule

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

= 13 \cdot \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{13 x ^{2}}{2}

Add a constant to the solution

= \frac{13 x ^{2}}{2} + C

Popular Examples

f(t)=e^{6tsin(2t)}

f (t) = e^{6 t s i n (2 t)}

y^{''}-8y^'-9y=0

y^{^{''}} - 8 y^{^{'}} - 9 y = 0

derivative of-ie^{-ix}

\frac{d}{d x} (- i e^{- i x})

limit as x approaches 3-of |(x-3)/(x-3)|

x \to 3 - lim (\frac{x - 3}{x - 3})

integral of 3/(x^2-8x+25)

\int \frac{3}{x ^{2} - 8 x + 25} d x

Frequently Asked Questions (FAQ)

What is the integral of 13x ?
The integral of 13x is (13x^2)/2+C