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Integrate the function $\frac{1}{e^x}$ from $x$ to $\infty $

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Solution

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Final answer to the problem

$\frac{1}{e^x}$
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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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Apply the formula: $\int\frac{1}{e^x}dx$$=-\frac{1}{e^x}+C$

Learn how to solve improper integrals problems step by step online.

$-\frac{1}{e^x}$

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Learn how to solve improper integrals problems step by step online. Integrate the function 1/(e^x) from x to infinity. Apply the formula: \int\frac{1}{e^x}dx=-\frac{1}{e^x}+C. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.

Final answer to the problem

$\frac{1}{e^x}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $\frac{1}{e^x}$

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1
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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
D□x
∫
∫◻
|◻|
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:

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Main Topic: Improper Integrals

An improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number that is not part of the function's domain, or infinity.

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