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Popular >

integral from-1 to 1 of x+y+1

Solution

\int_{- 1}^{1} x + y + 1 d x

Solution

2 y + 2

Solution steps

\int_{- 1}^{1} 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}^{1} 1 d x + \int_{- 1}^{1} y d x + \int_{- 1}^{1} x d x

\int_{- 1}^{1} 1 d x = 2

\int_{- 1}^{1} y d x = 2 y

\int_{- 1}^{1} x d x = 0

= 2 + 2 y + 0

Simplify

= 2 y + 2

Popular Examples

integral from 1 to x^3 of e^{t^2}

\int_{1}^{x^{3}} e^{t^{2}} d t

integral from 0 to e-1 of xln(x+1)

\int_{0}^{e - 1} x ln (x + 1) d x

integral from 1 to 2 of p^2ln(p)

\int_{1}^{2} p^{2} ln (p) d p

integral from 2 to 3 of x^3-4x

\int_{2}^{3} x^{3} - 4 x d x

integral from 8 to 10 of x/8-8/x

\int_{8}^{10} \frac{x}{8} - \frac{8}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x+y+1 ?
The integral from-1 to 1 of x+y+1 is 2y+2