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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

Popular Examples

derivative of ln(\sqrt[3]{(3x/(x+2)}))

(\partial)/(\partial x)((x^2+y^2)/(xy-1))

\frac{\partial}{\partial x} (\frac{x ^{2} + y ^{2}}{x y - 1})

integral of (sin(ax))/(1-cos(ax))

\int \frac{sin ( a x )}{1 - cos ( a x )} d x

limit as x approaches 0 of 5/(x^2-x)

x \to 0 lim (\frac{5}{x ^{2} - x})

derivative of (32x/((x^2+3)^2))

\frac{d}{d x} (\frac{32 x}{( x ^{2} + 3 ) ^{2}})

Frequently Asked Questions (FAQ)

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