Calculus 2 exam 3
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What is
1/x
^{2}
+1 dx?
Inverse tangent rule:
tan
^{1}
x+c
What is a trig identity for sin2x?
Sin2x=2sinxcosx
What is a trig identity for cos
^{2}
x?
Cos
^{2}
x=(1+cos2x)/2
What is a trig identity for sin
^{2}
x?
sin
^{2}
x=(1cos2x)/2
what is the antiderivative of 1/u?
1/u= lnu+c
what is the anitderivative of sec(u) du?
sec(u)du = lnsec(u)+tan(u)+c
What is the formula for integration by parts?
u dv = uv
vdu
what does
ILATE
stand for and what is it used for?
I=
inverse
L=
logarithm
A=
algebraic
T=
trig functions
E=
Exponentials
*used to choose what "u" should be in integration by parts.
what is
secx dx?
sec(x) dx = lnsec(x)+tan(x)+c
u
^{2}
a
^{2}
/u
^{2}
du equals?
=

u
^{2}
a
^{2}
/u
^{ }
+ lnu+
u
^{2}
a
^{2}
+c
cos
^{1}
udu equals?
=
ucos
1
u
(1u
2)
^{ }
+c
what is
du/u
(u
^{2}
a
^{2}
) ?
=
1/a sec
^{1}
u/a +c
How do you complete the square?
(ax
^{2}
+bx+c) = (ax
^{2}
+bx+(b/2)
^{2}
) (b/2)
^{2}
+c
what is
1/
(a
^{2}
u
^{2}
) du?
=
sin
^{1}
(u/a)+c
What is
sin
^{2}
(x)dx?
=
x/2  sin(2x)/4 +c
what is
cos
^{2}
(x)dx ?
=
x/2 + sin(2x)/4 +c
u
^{2}
ln(u) du ?
= u
^{n+1 }
/ (n+1)
^{2 }
[(n+1)ln(u)1] +c
what is the derivative of 1/(x
^{2}
+1)?
=
tan
^{1}
x+c
(a
^{2}
+u
^{2}
)/ u
^{2 }
du?
=

(a
^{2}
+u
^{2}
)/u + ln(u+
(a
^{2}
+u
^{2}
)) +c
what do you do when the top is longer than the bottom on the integral of polynomials?
long divide the bottom from the top first.
Card Set Information
Author:
AnnaRinaldo
ID:
224902
Filename:
Calculus 2 exam 3
Updated:
20130708 05:40:49
Tags:
Calculus
Folders:
Description:
Calculus 2
Show Answers:
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