Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2 Use the following integration formula for the inverse trigonometric functions. du 120 từng - = arctan() to a² + u² t 1 + X X 2 (2) dt arctan từ arctan tan()+c 4 ✓)) + c
Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2 Use the following integration formula for the inverse trigonometric functions. du 120 từng - = arctan() to a² + u² t 1 + X X 2 (2) dt arctan từ arctan tan()+c 4 ✓)) + c
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 51P: Consider the physical quantities s,v,a, and t with dimensions [s]=L,[v]=LT1,[a]=LT2 and [t]=L ....
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Transcribed Image Text:Step 1
Rewrite the original integral
Therefore,
let
du
a² + u²
(²)
dt as
+ 16
= arctan(y) to
Step 2
Use the following integration formula for the inverse trigonometric functions.
1.20
t
(27²2² +42 (2) ot = (-
t
1
+
X
X
4
2 (2) dt
arctant
arctan
tan()+c
4
✓)) + C
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