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Popular >

integral from 0 to 2 of y+xe^y

Solution

\int_{0}^{2} y + x e^{y} d x

Solution

2 y + e^{y} \cdot 2

Solution steps

\int_{0}^{2} y + x e^{y} 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}^{2} y d x + \int_{0}^{2} e^{y} x d x

\int_{0}^{2} y d x = 2 y

\int_{0}^{2} e^{y} x d x = e^{y} \cdot 2

= 2 y + e^{y} \cdot 2

Popular Examples

integral from 0 to 1 of (16)/(x^2-16)

\int_{0}^{1} \frac{16}{x ^{2} - 16} d x

integral from 0 to pi/2 of xcos^3(x)

\int_{0}^{\frac{π}{2}} x cos^{3} (x) d x

integral from-2 to 4 of 50+3x^2

\int_{- 2}^{4} 50 + 3 x^{2} d x

integral from 0 to pi/2 of e^{-x}cos(x)

\int_{0}^{\frac{π}{2}} e^{- x} cos (x) d x

integral from 0 to 2pi of 9tsqrt(2)

\int_{0}^{2 π} 9 t 2 d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of y+xe^y ?
The integral from 0 to 2 of y+xe^y is 2y+e^y*2