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Popular >

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

Popular Examples

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x y^{'} + (1 + x cot (x)) y = 0

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\int_{- 5}^{0} \frac{1}{4 - x} d x

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\int (\frac{1}{x ^{2}} - \frac{4}{x ^{3}}) d x

(\partial)/(\partial x)(3xz+y^2)

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integral from 1 to 16 of 1/(9-sqrt(x))

\int_{1}^{16} \frac{1}{9 - x} d x

Frequently Asked Questions (FAQ)

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