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Popular >

integral from 0 to 1 of x+y+z

Solution

\int_{0}^{1} x + y + z d x

Solution

y + z + \frac{1}{2}

Solution steps

\int_{0}^{1} x + y + z 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_{0}^{1} y d x + \int_{0}^{1} z d x + \int_{0}^{1} x d x

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

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

\int_{0}^{1} x d x = \frac{1}{2}

= y + z + \frac{1}{2}

Popular Examples

integral from 0 to L of (L-x)^2

\int_{0}^{L} (L - x)^{2} d x

integral from 0 to 0.1 of ln(x^2+1)

\int_{0}^{0.1} ln (x^{2} + 1) d x

integral from 0 to 1 of (x^3-7x-8)

\int_{0}^{1} (x^{3} - 7 x - 8) d x

integral from-3 to 6 of 5x

\int_{- 3}^{6} 5 x d x

integral from e to infinity of 1/(ln(x))

\int_{e}^{\infty} \frac{1}{ln ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x+y+z ?
The integral from 0 to 1 of x+y+z is y+z+1/2