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Popular >

integral of 120x

Solution

\int 120 x d x

Solution

60 x^{2} + C

Solution steps

\int 120 x d x

Take the constant out:

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

= 120 \cdot \int x d x

Apply the Power Rule

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

= 120 \cdot \frac{x ^{2}}{2}

Simplify

120 \cdot \frac{x ^{2}}{2} : 60 x^{2}

= 60 x^{2}

Add a constant to the solution

= 60 x^{2} + C

Popular Examples

sum from n=1 to infinity of (n+1)/n

n = 1 \sum \infty \frac{n + 1}{n}

limit as x approaches infinity+of (log_{4}(x))/(log_{7)(x)}

x \to \infty + lim (\frac{lo g _{4} ( x )}{lo g _{7} ( x )})

limit as x approaches 4 of sqrt(x^2+20)

x \to 4 lim (x^{2} + 20)

derivative of (3x^2/(sqrt(x^2+2x-1)))

\frac{d}{d x} (\frac{3 x ^{2}}{x ^{2} + 2 x - 1})

tangent of f(x)=x^3-3x+1,\at x=2 tangent of

f (x) = x^{3} - 3 x + 1, at x = 2

Frequently Asked Questions (FAQ)

What is the integral of 120x ?
The integral of 120x is 60x^2+C