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Popular >

integral of 2yx

Solution

\int 2 y x d x

Solution

y x^{2} + C

Solution steps

\int 2 y x d x

Take the constant out:

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

= 2 y \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= y x^{2}

Add a constant to the solution

= y x^{2} + C

Popular Examples

derivative of (x+1/(sqrt(x^2-3)))

\frac{d}{d x} (\frac{x + 1}{x ^{2} - 3})

(\partial)/(\partial x)(x^2cos(y))

\frac{\partial}{\partial x} (x^{2} cos (y))

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

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

limit as x approaches-3 of 5/(x+3)

x \to - 3 lim (\frac{5}{x + 3})

integral of (v^{3/2}+1/(v^{3/2)})

\int (v^{\frac{3}{2}} + \frac{1}{v ^{\frac{3}{2}}}) d v

Frequently Asked Questions (FAQ)

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