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Popular >

integral of 2/5 x

Solution

\int \frac{2}{5} x d x

Solution

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

Solution steps

\int \frac{2}{5} x d x

Take the constant out:

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

= \frac{2}{5} \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Popular Examples

derivative of sqrt(2+x^2)derivative of

2 + x^{2}

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

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

tangent of 1/3 x^3-3x^2-16x+8 tangent of

\frac{1}{3} x^{3} - 3 x^{2} - 16 x + 8

y^'cot^2(x)+tan(y)=0

y^{^{'}} cot^{2} (x) + tan (y) = 0

integral from-3 to 3 of x^2

\int_{- 3}^{3} x^{2} d x

Frequently Asked Questions (FAQ)

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