Use a change of variables or the table to evaluate the following definite integral. P. √81+p² 2 Click to view the table of general integration formulas } P 0 √81+p² dp dp = (Type an exact answer)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use a change of variables or the table to evaluate the following definite integral.
}
P
√81+p²
Click to view the table of general integration formulas
}
P
0 √81+p²
-dp
=dp= (Type an exact answer.)
General Integration Formulas
1
cos ax dx = sin
1
sec²ax dx = t
sin ax + C
sec ax tan ax dx =
a +x
dx
√₁²x dx = -²x + C
dx
1
2 2
a
-a
tan ax + C
tan
1
a
1
a
sec ax + C
+C
sec ¹+C, a>0
Print
1
sin ax dx = --
csc²ax dx = -c
fbx dx =
Scscax
csc ax cot ax dx = -
1
1.
dx
cos ax + C
2
- cot ax + C
Done
a
csc ax + C
Inb*+C, b>0, b*1
= sin +C, a>0
-1X
a
Transcribed Image Text:Use a change of variables or the table to evaluate the following definite integral. } P √81+p² Click to view the table of general integration formulas } P 0 √81+p² -dp =dp= (Type an exact answer.) General Integration Formulas 1 cos ax dx = sin 1 sec²ax dx = t sin ax + C sec ax tan ax dx = a +x dx √₁²x dx = -²x + C dx 1 2 2 a -a tan ax + C tan 1 a 1 a sec ax + C +C sec ¹+C, a>0 Print 1 sin ax dx = -- csc²ax dx = -c fbx dx = Scscax csc ax cot ax dx = - 1 1. dx cos ax + C 2 - cot ax + C Done a csc ax + C Inb*+C, b>0, b*1 = sin +C, a>0 -1X a
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