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Popular >

integral of 2+y

Solution

\int 2 + y d y

Solution

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

Solution steps

\int 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 2 d y + \int y d y

\int 2 d y = 2 y

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

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

Add a constant to the solution

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

Popular Examples

integral of (e^{2x})/(e^{2x)-e^x-6}

\int \frac{e ^{2 x}}{e ^{2 x} - e ^{x} - 6} d x

integral of (cos^3(8x))/(sin^4(8x))

\int \frac{cos ^{3} ( 8 x )}{sin ^{4} ( 8 x )} d x

integral of (e^{aln(x)}+e^{xln(a)})

\int (e^{a l n (x)} + e^{x l n (a)}) d x

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

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

integral of e^x(4-e^x)^{2/3}

\int e^{x} (4 - e^{x})^{\frac{2}{3}} d x

Frequently Asked Questions (FAQ)

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