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Popular >

integral of x^2+y^5

Solution

\int x^{2} + y^{5} d y

Solution

x^{2} y + \frac{y ^{6}}{6} + C

Solution steps

\int x^{2} + y^{5} 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 x^{2} d y + \int y^{5} d y

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

\int y^{5} d y = \frac{y ^{6}}{6}

= x^{2} y + \frac{y ^{6}}{6}

Add a constant to the solution

= x^{2} y + \frac{y ^{6}}{6} + C

Popular Examples

derivative of (x^2-2e^x/(x+3e^x))

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

tangent of y=sqrt(7x+11),(2,5)tangent of

y = 7 x + 11, (2, 5)

derivative of (log_{6}(x))/(e^{4x)}derivative of

\frac{lo g _{6} ( x )}{e ^{4 x}}

derivative of f(t)=sqrt(8t^2-t)derivative of

f (t) = 8 t^{2} - t

tangent of 4sqrt(x),\at x=4 tangent of

4 x, at x = 4

Frequently Asked Questions (FAQ)

What is the integral of x^2+y^5 ?
The integral of x^2+y^5 is x^2y+(y^6)/6+C