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Popular >

integral of (1+4xy)

Solution

\int (1 + 4 x y) d x

Solution

x + 2 y x^{2} + C

Solution steps

\int 1 + 4 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 1 d x + \int 4 y x d x

\int 1 d x = x

\int 4 y x d x = 2 y x^{2}

= x + 2 y x^{2}

Add a constant to the solution

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

Popular Examples

integral of (85-x)

\int (85 - x) d x

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

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

integral of 10^{x^3}x^2

\int 1 0^{x^{3}} x^{2} d x

integral of (x-1)sin(2-x)

\int (x - 1) sin (2 - x) d x

integral of 1/(x^2+16x+73)

\int \frac{1}{x ^{2} + 16 x + 73} d x

Frequently Asked Questions (FAQ)

What is the integral of (1+4xy) ?
The integral of (1+4xy) is x+2yx^2+C