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Popular >

integral of 6x+5y

Solution

\int 6 x + 5 y d x

Solution

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

Solution steps

\int 6 x + 5 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 5 y d x + \int 6 x d x

\int 5 y d x = 5 y x

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

= 5 y x + 3 x^{2}

Add a constant to the solution

= 5 y x + 3 x^{2} + C

Popular Examples

integral of x^{8/7}

\int x^{\frac{8}{7}} d x

integral of 8x(4x^2+9)^4

\int 8 x (4 x^{2} + 9)^{4} d x

integral of (4x^3-3x+5)/(x^2-2x)

\int \frac{4 x ^{3} - 3 x + 5}{x ^{2} - 2 x} d x

integral of x^2-1/((3x)^2)

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

integral of (x^2+8)/(x^2-5x+6)

\int \frac{x ^{2} + 8}{x ^{2} - 5 x + 6} d x

Frequently Asked Questions (FAQ)

What is the integral of 6x+5y ?
The integral of 6x+5y is 5yx+3x^2+C