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Integrate the function $3e^x+2e^{2x}$ from $- \infty $ to 0

Step-by-step Solution

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Final Answer

$4$
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Step-by-step Solution

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Expand the integral $\int\left(3e^x+2e^{2x}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int3e^xdx+\int2e^{2x}dx$

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

$\int3e^xdx+\int2e^{2x}dx$

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Learn how to solve definite integrals problems step by step online. Integrate the function 3e^x+2e^(2x) from -infinity to 0. Expand the integral \int\left(3e^x+2e^{2x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3e^xdx results in: 3e^x. The integral \int2e^{2x}dx results in: e^{2x}. Gather the results of all integrals.

Final Answer

$4$

Exact Numeric Answer

$4$

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Function Plot

Plotting: $3e^x+2e^{2x}$

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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
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: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

4. See formulas

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