Do I just straight up integrate (x + cosx)? and to change my interval do I plug Pi/2 and Pi/3 to cos(x)??
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Originally Posted by asilvester635 Do I just straight up integrate (x + cosx)? <--- yes
and to change my interval do I plug Pi/2 and Pi/3 to cos(x)??<--- no, you have to replace x by pi/2 and pi/3 respectively ..... Spoiler: You should come out with
awesome... so we didn't have to change the interval of Pi/2 and Pi/3, because usually that's what I'm used to doing..... So since we can't further simplify this equation we just leave it as it is??
You only change the limits of integration if you have made a substitution. Then you write those limits in terms of the new variable.
Sometimes when I'm doing a substitution on a definite integral, I'll write so that I remember to change the limits of integration when I do the substitution.
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