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Popular >

integral of 24x

Solution

\int 24 x d x

Solution

12 x^{2} + C

Solution steps

\int 24 x d x

Take the constant out:

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

= 24 \cdot \int x d x

Apply the Power Rule

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

= 24 \cdot \frac{x ^{2}}{2}

Simplify

24 \cdot \frac{x ^{2}}{2} : 12 x^{2}

= 12 x^{2}

Add a constant to the solution

= 12 x^{2} + C

Popular Examples

(dy)/(dt)=-ksqrt(y)

\frac{d y}{d t} = - k y

9x-4ysqrt((x^2+1))((dy)/(dx))=0

9 x - 4 y (x^{2} + 1) (\frac{d y}{d x}) = 0

integral of x/((x+4)^{1/3)}

\int \frac{x}{( x + 4 ) ^{\frac{1}{3}}} d x

f (x) = e^{x} + 1

derivative of (8t)/(t^2+9)derivative of

\frac{8 t}{t ^{2} + 9}

Frequently Asked Questions (FAQ)

What is the integral of 24x ?
The integral of 24x is 12x^2+C