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Integrate the function $\cos\left(\frac{\pi }{2}x\right)$ from 0 to $1$

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Solution

Formulas

Videos

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

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

Integrate the cosine of an exponential expression

https://www.youtube.com/watch?v=EP1jCElfA74

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

Algebra 2 - Find the solutions to the given trinomial - Online Tutor 3x^2 - 2x - 1 = 0

https://www.youtube.com/watch?v=b0e0g6Ig5W4

Calculus - Mulitiplying Rational Expressions, ((x^2 - 2x - 3)/(x^2 - 1)) . ((3x - 3)/(x^2 - 4x + 3))

https://www.youtube.com/watch?v=eB9q_okoWFA

Calculus - Solving Rational Equations, ((4x + 1)/4) - ((2x + 3)/3) = 7/12

https://www.youtube.com/watch?v=1J6QI7lmlj4

Function Plot

Plotting: $\cos\left(\frac{\pi }{2}x\right)$

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7
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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 (6)

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