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Popular Calculus >

integral of (6x+y)

Solution

\int (6 x + y) d x

Solution

y x + 3 x^{2} + C

Solution steps

\int 6 x + y 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 d x + \int 6 x d x

\int y d x = y x

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

= y x + 3 x^{2}

Add a constant to the solution

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

Graph

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integral of (x^2)

\int (x^{2}) d x

Frequently Asked Questions (FAQ)

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