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Popular >

integral of xy+1

Solution

\int x y + 1 d y

Solution

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

Solution steps

\int x y + 1 d y

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 y + \int x y d y

\int 1 d y = y

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

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

Add a constant to the solution

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

Popular Examples

inverse oflaplace 1/((t+1)^2)inverse laplace

\frac{1}{( t + 1 ) ^{2}}

integral of (x+4)/(2x+3)

\int \frac{x + 4}{2 x + 3} d x

y^{''}+y=e^xsin(x)

y^{^{''}} + y = e^{x} sin (x)

integral of (sqrt(2x))/x

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

integral of 1+2cos(x)+cos^2(x)

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

Frequently Asked Questions (FAQ)

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