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Integrate the function $e^x-e$ from 0 to $1$

Step-by-step Solution

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asinh
acosh
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acoth
asech
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Final answer to the problem

$-1$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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1

Expand the integral $\int_{0}^{1}\left(e^x-e\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{0}^{1} e^xdx+\int_{0}^{1}-edx$

Learn how to solve differential calculus problems step by step online.

$\int_{0}^{1} e^xdx+\int_{0}^{1}-edx$

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Learn how to solve differential calculus problems step by step online. Integrate the function e^x-e from 0 to 1. Expand the integral \int_{0}^{1}\left(e^x-e\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1} e^xdx results in: 1.7182818. The integral \int_{0}^{1}-edx results in: -e. Gather the results of all integrals.

Final answer to the problem

$-1$

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Function Plot

Plotting: $e^x-e$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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