2 - Area bounded region, volume, surface area and arc length Questions Answers


How to do it with calculus?
Asked By: LUFFY
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Joshi sir comment

length for one turn = 3

Draw diagonal of a rectangle then turn it as a cylinder, you will get the construction given in the question.

In triangle l = 32+n2 So total length of wire having n turn = n32+n2 Compare with 20 and solve


Find area of region bounded by the curve y=[sinx+cosx] between x=0 to x=2p.

Asked By: KAMAL
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Joshi sir comment


[sinx + cosx] = [√2 sin{x+(π/4)}]    here [ ] is greatest integer function

its value in different interval are

1       for 0 to π/2

0       for π/2 to 3π/4

-1        for 3π/4 to π

-2     for π to 3π/2

-1     for 3π/2 to 7π/4

0      for 7π/4 to 2π

now solve

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