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Popular >

integral of 18x

Solution

\int 18 x d x

Solution

9 x^{2} + C

Solution steps

\int 18 x d x

Take the constant out:

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

= 18 \cdot \int x d x

Apply the Power Rule

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

= 18 \cdot \frac{x ^{2}}{2}

Simplify

18 \cdot \frac{x ^{2}}{2} : 9 x^{2}

= 9 x^{2}

Add a constant to the solution

= 9 x^{2} + C

Popular Examples

implicit (dy)/(dx),8x^3+x^2y-xy^3=9 implicit derivative

\frac{d y}{d x}, 8 x^{3} + x^{2} y - x y^{3} = 9

integral of 1/(x^{4/5)(1+x^{1/5})}

\int \frac{1}{x ^{\frac{4}{5}} ( 1 + x ^{\frac{1}{5}} )} d x

x((dy)/(dx))=2x^2+y

x (\frac{d y}{d x}) = 2 x^{2} + y

tangent of f(x)=sqrt(7x+32),\at x=-1 tangent of

f (x) = 7 x + 32, at x = - 1

(x+y)dx+(x+y-1)dy=0

(x + y) d x + (x + y - 1) d y = 0

Frequently Asked Questions (FAQ)

What is the integral of 18x ?
The integral of 18x is 9x^2+C