CHALLENGE: without calculator, find the sum of sin(x)^6 from 1 to 89 degree

Question

anonymous · Answer

@satellite73

shiraz14 · Answer

@johnz:

You'd simply need to find the integral of this function for the range 1 to 89 degrees.

anonymous · Answer

@shiraz14 That's incorrect

shiraz14 · Answer

@johnz: You obviously do not understand the meaning of the integral function - the integral (as defined from first principles) is used to compute the area under the curve for a given equation (in this context, being by summation of y-values for infinitesimal increments of values along the x-axis) - the said equation here being y=sin(x)^6.

anonymous · Answer

@shiraz14 I'm seriously lol'ed.
 So you're saying $$\sum_{n=1}^{5}x$$ is the same as $$\int\limits_{1}^{5}xdx$$

anonymous · Answer

@shiraz14 Do me a favor and retake your calculus course kid ;)

shiraz14 · Answer

@johnz: Please specify your question clearly the next time. If you desired summation, please specify that you wish to find the values for the function for all integer values of x, and not for all x (since the latter implies that you are considering the entire real number line within the defined limits). At this juncture, I'd also wish to emphasize the importance of exercising due courtesy in communication (aka 'Be Nice'), in accordance with the Code of Conduct for this site. I do not wish to waste my time arguing with you as I have more fruitful things to do. And by the way, I am not a student. Goodbye.

anonymous · Answer

Interesting point. "1 to 89 degrees" seemed like just the integer values, but @shiraz14 is correct that it could have been all values, the continuum, from 1 to 89. 

Since we are here to help each other, "be nice" is a fine injunction.