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Popular >

integral of x+y+1

Solution

\int x + y + 1 d x

Solution

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

Solution steps

\int x + y + 1 d x

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 x + \int y d x + \int x d x

\int 1 d x = x

\int y d x = y x

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

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

Add a constant to the solution

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

Popular Examples

y^'=7x+y,y(0)=5

y^{^{'}} = 7 x + y, y (0) = 5

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

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

area 3x^2,(1,3)area

3 x^{2}, (1, 3)

integral from 0 to pi of 12sin^4(x)

\int_{0}^{π} 12 sin^{4} (x) d x

integral from 1 to 2 of (7x+x^2)

\int_{1}^{2} (7 x + x^{2}) d x

Frequently Asked Questions (FAQ)

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