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Popular >

integral of 3/5 x

Solution

\int \frac{3}{5} x d x

Solution

\frac{3 x ^{2}}{10} + C

Solution steps

\int \frac{3}{5} x d x

Take the constant out:

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

= \frac{3}{5} \cdot \int x d x

Apply the Power Rule

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

= \frac{3}{5} \cdot \frac{x ^{2}}{2}

Simplify

\frac{3}{5} \cdot \frac{x ^{2}}{2} : \frac{3 x ^{2}}{10}

= \frac{3 x ^{2}}{10}

Add a constant to the solution

= \frac{3 x ^{2}}{10} + C

Popular Examples

integral of x^{-6}ln(x)

\int x^{- 6} ln (x) d x

integral of 4/(x^2sqrt(1+x^2))

\int \frac{4}{x ^{2} 1 + x ^{2}} d x

integral of sqrt((1+2x)/(1-2x))

\int \frac{1 + 2 x}{1 - 2 x} d x

integral of (cos(4x))/8

\int \frac{cos ( 4 x )}{8} d x

integral of (x^4)/((x^2-1)(x-2))

\int \frac{x ^{4}}{( x ^{2} - 1 ) ( x - 2 )} d x

Frequently Asked Questions (FAQ)

What is the integral of 3/5 x ?
The integral of 3/5 x is (3x^2)/(10)+C