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Popular >

integral of (1+y)

Solution

\int (1 + y) d y

Solution

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

Solution steps

\int 1 + 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 1 d y + \int y d y

\int 1 d y = y

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(x^3)e^{1/x}

\int \frac{1}{x ^{3}} e^{\frac{1}{x}} d x

integral of v^{-2}

\int v^{- 2} d v

derivative of-asin(ax)

\frac{d}{d x} (- a sin (a x))

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

\int \frac{2 x}{2 - x ^{2}} d x

derivative of c+x+{f}(x(x)^2)

\frac{d}{d x} (c + x + f (x) (x)^{2})

Frequently Asked Questions (FAQ)

What is the integral of (1+y) ?
The integral of (1+y) is y+(y^2)/2+C