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Popular >

integral of 2xz+y^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral from 2 to 4 of (x-4)^2+1

\int_{2}^{4} (x - 4)^{2} + 1 d x

derivative of 2cos^2(x-1)

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

integral of+x^9sqrt(x^5+5)

\int + x^{9} x^{5} + 5 d x

(2+x)((dy)/(dx))-xy=0

(2 + x) (\frac{d y}{d x}) - x y = 0

integral from 0 to 2 of 3x+4

\int_{0}^{2} 3 x + 4 d x

Frequently Asked Questions (FAQ)

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