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Popular >

integral of 4/5 x

Solution

\int \frac{4}{5} x d x

Solution

\frac{2 x ^{2}}{5} + C

Solution steps

\int \frac{4}{5} x d x

Take the constant out:

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

= \frac{4}{5} \cdot \int x d x

Apply the Power Rule

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

= \frac{4}{5} \cdot \frac{x ^{2}}{2}

Simplify

\frac{4}{5} \cdot \frac{x ^{2}}{2} : \frac{2 x ^{2}}{5}

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

Add a constant to the solution

= \frac{2 x ^{2}}{5} + C

Popular Examples

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

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

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

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

integral of 3((sin(2x))/(sin(x)))

\int 3 (\frac{sin ( 2 x )}{sin ( x )}) d x

integral of 1/(x(ln(x^6))^9)

\int \frac{1}{x ( ln ( x ^{6} ) ) ^{9}} d x

integral of-6/(x^3)

\int - \frac{6}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral of 4/5 x ?
The integral of 4/5 x is (2x^2)/5+C