Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 1YT: YOUR TURN Find dy if y=300x23,x=8, and dx=0.05.
Related questions
Question
Make a proper u-substitution and use the formula table to evaluate the
Transcribed Image Text:TABLE OF INTEGRALS
BASIC FUNCTIONS
un+1
1.
u" du =
+C
10.
a" du =
+ C
n + 1
du
= In |u| +C
2.
11.
In u du = u In u – u + C
u
3.
el du = e" +C
12.
cot u du = In |sin u|+C
4.
sin u du = - cos u + C
sec u du = In |sec u + tan u| + C
13.
= In [tan (7 + u) |+C
5.
cos u du = sin u + C
csc u du = In |csc u – cot u| +C
14.
6.
tan u du = In |sec u| +C
= In |tan u| +C
cotu du = u cot-u + In V1+u² +C
7.
sin
-1
u du = u sin
и +V1-и2 +С
15.
/1 - u? +C
sec-u du = u sec-u – In |u + Vu? – 1|+C
8.
cos u du = u cos
16.
u
-'u du = u tan
u – In /1+u? +C
17.
-1
csc
и du 3 и csc u + In \u + Vu? — 1| + С
9.
tan
Transcribed Image Text:x In(2 + x²) dx
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