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Popular >

integral of 6x+y^2

Solution

\int 6 x + y^{2} d x

Solution

y^{2} x + 3 x^{2} + C

Solution steps

\int 6 x + 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 6 x d x

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

\int 6 x d x = 3 x^{2}

= y^{2} x + 3 x^{2}

Add a constant to the solution

= y^{2} x + 3 x^{2} + C

Graph

Popular Examples

integral of (x^5-3x)

\int (x^{5} - 3 x) d x

integral of 3ab^2x^4

\int 3 a b^{2} x^{4} d x

integral of 3cos^2(θ)

\int 3 cos^{2} (θ) d θ

integral of 4cos(1-x)

\int 4 cos (1 - x) d x

integral of x/(\sqrt[3]{x+3)}

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

Frequently Asked Questions (FAQ)

What is the integral of 6x+y^2 ?
The integral of 6x+y^2 is y^2x+3x^2+C