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Popular >

integral of 1/50 x

Solution

\int \frac{1}{50} x d x

Solution

\frac{x ^{2}}{100} + C

Solution steps

\int \frac{1}{50} x d x

Take the constant out:

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

= \frac{1}{50} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{50} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{50} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{100}

= \frac{x ^{2}}{100}

Add a constant to the solution

= \frac{x ^{2}}{100} + C

Popular Examples

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

integral from 0 to 1 of x^7

\int_{0}^{1} x^{7} d x

limit as x approaches-5-of 2/(x+5)

x \to - 5 - lim (\frac{2}{x + 5})

tangent of f(x)=x^2+2,(4,18)tangent of

f (x) = x^{2} + 2, (4, 18)

limit as x approaches-9+of (x+10)/(x+9)

x \to - 9 + lim (\frac{x + 10}{x + 9})

Frequently Asked Questions (FAQ)

What is the integral of 1/50 x ?
The integral of 1/50 x is (x^2)/(100)+C