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Popular >

integral of 1+xy

Solution

\int 1 + x y d x

Solution

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

Solution steps

\int 1 + x y d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x + \int y x d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Popular Examples

integral of (sin(ln(49x)))/x

\int \frac{sin ( ln ( 49 x ) )}{x} d x

integral of (sin(x)cos(x))/(1-cos(x))

\int \frac{sin ( x ) cos ( x )}{1 - cos ( x )} d x

integral of (6x)/(x+2)

\int \frac{6 x}{x + 2} d x

integral of 2xarctan^2(x)

\int 2 x arctan^{2} (x) d x

integral of (x+8)^5

\int (x + 8)^{5} d x

Frequently Asked Questions (FAQ)

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