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Popular >

integral of x/(10)

Solution

\int \frac{x}{10} d x

Solution

\frac{x ^{2}}{20} + C

Solution steps

\int \frac{x}{10} d x

Take the constant out:

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

= \frac{1}{10} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{10} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{10} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{20}

= \frac{x ^{2}}{20}

Add a constant to the solution

= \frac{x ^{2}}{20} + C

Popular Examples

integral from 0 to pi/4 of cos^2(4x)

\int_{0}^{\frac{π}{4}} cos^{2} (4 x) d x

integral of sec^2(x)-4

\int sec^{2} (x) - 4 d x

integral of (2x+1)/(x^3-7x+6)

\int \frac{2 x + 1}{x ^{3} - 7 x + 6} d x

y^'=((y^2+2))/(xy-4y)

y^{^{'}} = \frac{( y ^{2} + 2 )}{x y - 4 y}

sum from n=0 to infinity of (3/4)^2

n = 0 \sum \infty (\frac{3}{4})^{2}

Frequently Asked Questions (FAQ)

What is the integral of x/(10) ?
The integral of x/(10) is (x^2)/(20)+C