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Popular >

integral from 0 to 1 of xe^x-e^x

Solution

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

Solution

- e + 2

+1

Decimal Notation

- 0.71828 \dots

Solution steps

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

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

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

= 1 - (e - 1)

Simplify

= - e + 2

Popular Examples

y^{''}+4y=sec(2t)

y^{^{''}} + 4 y = sec (2 t)

(\partial)/(\partial x)((2x+1)^y)

\frac{\partial}{\partial x} ((2 x + 1)^{y})

derivative of tan(5x^2-x)

\frac{d}{d x} (tan (5 x^{2} - x))

integral of 10csc^2(5x)cot(5x)

\int 10 csc^{2} (5 x) cot (5 x) d x

(\partial)/(\partial x)((sin(x+y))/(y^2))

\frac{\partial}{\partial x} (\frac{sin ( x + y )}{y ^{2}})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of xe^x-e^x ?
The integral from 0 to 1 of xe^x-e^x is -e+2