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Find the integral $\int e^{\left(\sqrt{x}\right)}dx$

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sin
cos
tan
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Solution

Formulas

Videos

Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Finding specific antiderivatives: rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=bjdOWH43-9s

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Algebra 2 - Finding the vertex of a quadratic function y = 2x^2 + 2x + 1

https://www.youtube.com/watch?v=V2udel2WylU

Definite integral of trig function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=ldLdWj6DLTw

Function Plot

Plotting: $2e^{\left(\sqrt{x}\right)}\sqrt{x}-2e^{\left(\sqrt{x}\right)}+C_0$

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5
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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

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Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

Used Formulas

See formulas (4)

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