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Popular >

integral of (y+3)

Solution

\int (y + 3) d y

Solution

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

Solution steps

\int y + 3 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 d y

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

\int 3 d y = 3 y

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

Add a constant to the solution

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

Graph

Popular Examples

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\int \frac{3}{e ^{t}} d t

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\int 3 sin^{5} (x) cos^{3} (x) d x

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\int 2 sin (4 t) d t

integral of 4^xe^{-x}

\int 4^{x} e^{- x} d x

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

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

Frequently Asked Questions (FAQ)

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