How do you find the intergal from 10 to 0 from the function f(x)=sin(x)?

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Answer 1 · 2018-04-06T23:40:46

#int_0^10sinxdx=1-cos10#

We want

#int_0^10sinxdx#

So, we take the antiderivative of sine, which is negative cosine, and evaluate it from zero to ten.

#int_0^10sinxdx=(-cosx)|_0^10#

This yields

#int_0^10sinxdx=-cos(10)-(-cos(0))#

#cos0=1,# so

#int_0^10sinxdx=1-cos10#