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Popular >

integral of 1 (xy)

Solution

\int \frac{d}{1} (x y) d x

Solution

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

Solution steps

\int \frac{d}{1} x y d x

Take the constant out:

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

= d y \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of x^2sqrt(3x^3-1)

\int x^{2} 3 x^{3} - 1 d x

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

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

integral of (e^{3x})/(e^{3x)+7}

\int \frac{e ^{3 x}}{e ^{3 x} + 7} d x

integral of x^2-e^{2x}+cos(x)+3/(1+x^2)

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

integral of (1-x^2)x

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

Frequently Asked Questions (FAQ)

What is the integral of 1 (xy) ?
The integral of 1 (xy) is (dyx^2)/2+C