1/9 Determine the trapezoidal approximation of 7 sin 9x dx using 4 equal subdivisions of the interval of integration. Choose the correct answer below. OA (7-742) OB. (14+77) Oc. (7+7V2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1/9
Determine the trapezoidal approximation of 7 sin 9x dx using 4 equal subdivisions of the interval of integration.
Choose the correct answer below.
A.
В.
36
(14 + 72)
Oc. (7+72)
36
D. t
Transcribed Image Text:1/9 Determine the trapezoidal approximation of 7 sin 9x dx using 4 equal subdivisions of the interval of integration. Choose the correct answer below. A. В. 36 (14 + 72) Oc. (7+72) 36 D. t
Expert Solution
Step 1

Given integral is

0π97sin(9x)dx.

To find the value of this integral by trapezoidal rule by taking 4 equal intervals, we use the following formula

abf(x)dx=h2fa+2fa+h+2fa+2h+2fa+3h+f(b)

where h=b-a4.

Now, according to the problem

f(x)=7sin(9x)

a=0

b=π9

h=π9-04=π36

 

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