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Popular >

integral of (3x+y)

Solution

\int (3 x + y) d y

Solution

\frac{y ^{2}}{2} + 3 x y + C

Solution steps

\int 3 x + y d y

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 y + \int 3 x d y

\int y d y = \frac{y ^{2}}{2}

\int 3 x d y = 3 x y

= \frac{y ^{2}}{2} + 3 x y

Add a constant to the solution

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

Popular Examples

integral of 8/(5xsqrt(25x^2-25))

\int \frac{8}{5 x 25 x ^{2} - 25} d x

integral of x(x^3+2)^2

\int x (x^{3} + 2)^{2} d x

integral of 1/((x+3))integral

\frac{1}{( x + 3 )}

integral of 3x^2(x^3+1)^{1/2}

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

integral of (-2sin(x))

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

Frequently Asked Questions (FAQ)

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