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Popular >

integral of sh x/3

Solution

\int s h \frac{x}{3} d x

Solution

\frac{h s x ^{2}}{6} + C

Solution steps

\int s h \frac{x}{3} d x

Take the constant out:

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

= \frac{1}{3} h s \cdot \int x d x

Simplify

\frac{1}{3} h s : \frac{h s}{3}

= \frac{h s}{3} \cdot \int x d x

Apply the Power Rule

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

= \frac{h s}{3} \cdot \frac{x ^{2}}{2}

Simplify

\frac{h s}{3} \cdot \frac{x ^{2}}{2} : \frac{h s x ^{2}}{6}

= \frac{h s x ^{2}}{6}

Add a constant to the solution

= \frac{h s x ^{2}}{6} + C

Popular Examples

tangent of f(x)=4x^2-8,\at 3 tangent of

f (x) = 4 x^{2} - 8, at 3

sum from n=1 to infinity of 3/n

n = 1 \sum \infty \frac{3}{n}

integral of 2/(t-t^3)

\int \frac{2}{t - t ^{3}} d t

(dy)/(dx)=(9x+2y)/(9x+2y+2)

\frac{d y}{d x} = \frac{9 x + 2 y}{9 x + 2 y + 2}

integral from 1/2 to 1 of 7/(\sqrt[3]{2x-1)}

Frequently Asked Questions (FAQ)

What is the integral of sh x/3 ?
The integral of sh x/3 is (hsx^2)/6+C