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How do you find by the method of summation the value of the integral os sin(x) and cos(x)?

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Integration as the limit of a sum (II)
Find by the method of summation the value of:

a) The integral (from 0 to 1/2*pi) of sin(x).

b) The integral (from a to b) of cos (theta).

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This solution shows how to find the integral as the limit of a sum. This solution is provided in an attached Word file.

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Integration as the limit of a sum (II)

Written by :- Thokchom Sarojkumar Sinha

Find by the method of summation the value of:-

(1/2)π b
(a) ∫ sin x dx (b) ∫ cos θ dθ
0 a

(1/2)π n-1
Solution :- (a) ∫ sin x dx = Lt h ∑ sin (rh) , where nh = (1/2)π - 0 = (1/2)π
0 ...

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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