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Popular >

integral of (2y+1)

Solution

\int (2 y + 1) d y

Solution

y^{2} + y + C

Solution steps

\int 2 y + 1 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 2 y d y + \int 1 d y

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

\int 1 d y = y

= y^{2} + y

Add a constant to the solution

= y^{2} + y + C

Graph

Popular Examples

integral from 3 to 9 of 1/(xln(x))

\int_{3}^{9} \frac{1}{x ln ( x )} d x

tangent of y=sqrt(2x+1),\at x= 1/2 tangent of

y = 2 x + 1, at x = \frac{1}{2}

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

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

integral of x/(x^3+x)

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

sum from n=0 to infinity of 2^{-n/2}

n = 0 \sum \infty 2^{- \frac{n}{2}}

Frequently Asked Questions (FAQ)

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