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Popular >

integral of 2x^2y+4

Solution

\int 2 x^{2} y + 4 d y

Solution

4 y + x^{2} y^{2} + C

Solution steps

\int 2 x^{2} y + 4 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 4 d y + \int 2 x^{2} y d y

\int 4 d y = 4 y

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

= 4 y + x^{2} y^{2}

Add a constant to the solution

= 4 y + x^{2} y^{2} + C

Popular Examples

derivative of 4x^2+2

\frac{d}{d x} (4 x^{2} + 2)

integral from 0 to 16 of 2sqrt(x)-x/2

\int_{0}^{16} 2 x - \frac{x}{2} d x

limit as x approaches-1 of |x|

x \to - 1 lim (∣ x ∣)

y^{''}-4y^'+13y=0

y^{^{''}} - 4 y^{^{'}} + 13 y = 0

area f(x)= 2/(x^2+1),|x|area

f (x) = \frac{2}{x ^{2} + 1}, ∣ x ∣

Frequently Asked Questions (FAQ)

What is the integral of 2x^2y+4 ?
The integral of 2x^2y+4 is 4y+x^2y^2+C