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Popular >

integral of (1+2y)

Solution

\int (1 + 2 y) d y

Solution

y + y^{2} + C

Solution steps

\int 1 + 2 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 2 y d y

\int 1 d y = y

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

= y + y^{2}

Add a constant to the solution

= y + y^{2} + C

Popular Examples

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

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

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\int x^{3} - 2 x^{2} - x + 2 d x

integral of-0.4x+20

\int - 0.4 x + 20 d x

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

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

integral of ((x^4-6x^3-7x))/x

\int \frac{( x ^{4} - 6 x ^{3} - 7 x )}{x} d x

Frequently Asked Questions (FAQ)

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