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Popular >

integral of yx

Solution

\int y x d x

Solution

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

Solution steps

\int y x d x

Take the constant out:

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

= y \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

integral from 0 to pi of sin^2(tco)s^4t

\int_{0}^{π} sin^{2} (t co) s^{4} t d t

(dy)/(dt)=0.225-y/(200),y(0)=90

\frac{d y}{d t} = 0.225 - \frac{y}{200}, y (0) = 90

taylor (x^2+1)*e^{x-1}taylor

(x^{2} + 1) \cdot e^{x - 1}

derivative of sqrt(t+2)derivative of

t + 2

implicit (dy)/(dx),y=x^{15/16}implicit derivative

\frac{d y}{d x}, y = x^{\frac{15}{16}}

Frequently Asked Questions (FAQ)

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