Question

estimate the value of the following integral: 1/100 times the integral from 0 to 100 of sin(x)dx

please help i have no clue what method to be using

Answer 1

integral of sin x is - cos x.put the limits in the cos x
-(1/100)*(cos 100 - cos 0)

Answer 2

it needs to be an estimation of the value. not an actual calculation or an unsimplified version of the solution

Answer 3

What are the units of x, radians or degrees?

Answer 4

not specified.

Answer 5

if not specified take the angles to be in radians

Answer 6

If x is in radians, 100 radians correspond to approximately 15.9 cycles of the sine function. The areas under the positive and negative half cycles cancel each other over each full cycle and almost cancel over 0.9 of a cycle. The estimated value of the definite integral divided by 100 will be a positive value close to zero.