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Integrate the function $e^{-t^2}$ from $2$ to $4$

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Solving: $\int_{2}^{4} e^{-t^2}dt$
Solve instead: $\int_2^4e^{-t^2}dx$

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

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

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

Proof of fundamental theorem of calculus | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=pWtt0AvU0KA

Washer method rotating around horizontal line (not x-axis), part 2 | AP Calculus AB | Khan Academy

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

Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems

https://www.youtube.com/watch?v=rCWOdfQ3cwQ

Function Plot

Plotting: $e^{-t^2}$

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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

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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

See formulas (2)

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