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Popular >

integral from 1 to 2 of e^yy-e^y

Solution

\int_{1}^{2} e^{y} y - e^{y} d y

Solution

e

+1

Decimal Notation

2.71828 \dots

Solution steps

\int_{1}^{2} e^{y} y - e^{y} d y

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}^{2} e^{y} y d y - \int_{1}^{2} e^{y} d y

\int_{1}^{2} e^{y} y d y = e^{2}

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

= e^{2} - (e^{2} - e)

Simplify

= e

Popular Examples

integral from-pi/4 to pi/4 of sin(t)

\int_{- \frac{π}{4}}^{\frac{π}{4}} sin (t) d t

integral from-5 to 5 of x^{10}sin(x)

\int_{- 5}^{5} x^{10} sin (x) d x

integral from 0 to 3 of 5x^2+9x

\int_{0}^{3} 5 x^{2} + 9 x d x

integral from 1 to 3 of (t^6)/(1+t^4)

\int_{1}^{3} \frac{t ^{6}}{1 + t ^{4}} d t

integral from x to 20 of sin(u)

\int_{x}^{20} sin (u) d u

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of e^yy-e^y ?
The integral from 1 to 2 of e^yy-e^y is e