Need help with integration problem. Fundamental theorem of calc. part I. Medals !!

Question

anonymous · Answer

attachment

anonymous · Answer

they're asking for G' that's the derivative....

anonymous · Answer

yeah so how to I do that, i tried putting in 17 and x but it was wrong

anonymous · Answer

the question does not make sense, that notation is flawed. They are asking for the derivative of x on a function of t. That would be 0.

but i assume they mean something else

anonymous · Answer

it's not 0

anonymous · Answer

i'm not sure either but i guess -tan(8x^5)

anonymous · Answer

yeah that's right, then the second derivative is -sec^2(8x^5)(40x^4). Did you add the negative because switching the upper and lower bound limits adds a negative in front of the integral?

anonymous · Answer

yes, but it was just a hunch, i can't really explain it in detail

anonymous · Answer

i understand it, i got the properties written down. I just was  little unsure. Thanks for the clarification!

anonymous · Answer

no problem