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Popular >

integral of (2x-3y)

Solution

\int (2 x - 3 y) d x

Solution

x^{2} - 3 y x + C

Solution steps

\int 2 x - 3 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 2 x d x - \int 3 y d x

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

\int 3 y d x = 3 y x

= x^{2} - 3 y x

Add a constant to the solution

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

Popular Examples

integral of (2x)^4

\int (2 x)^{4} d x

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\int \frac{in x}{x ^{3}} d x

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\int x^{4} (x^{5} - 7)^{5} d x

integral of sin(x)In(cos(x))

\int sin (x) I n (cos (x)) d x

integral of 3/((x-7)(x-4))

\int \frac{3}{( x - 7 ) ( x - 4 )} d x

Frequently Asked Questions (FAQ)

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