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Popular >

integral of y+1

Solution

integral

y + 1

Solution

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

Solution steps

\int 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 y d y + \int 1 d y

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

\int 1 d y = y

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

Add a constant to the solution

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

Popular Examples

integral of ((3x-6))/((3x+1)(x-1))integral

\frac{( 3 x - 6 )}{( 3 x + 1 ) ( x - 1 )}

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

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

integral of e^4x-3 integral

e^{4} x - 3

integral of 1^{22}x*sqrt(x^2-11)integral

1^{22} x \cdot x^{2} - 11

f(x)=x^3(3x^5-10)^{11}

f (x) = x^{3} (3 x^{5} - 10)^{11}

Frequently Asked Questions (FAQ)

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