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Integral of sinx - x^4 + pi^4 why?

Why is the graph -x^4 +pi^4 shaped like that and why is one of the limits pi and what did I do that made my answer wrong when the answer is supposed to be 2 - (4pi^5)/5 instead?

What's the question?

If your integral is as it is meant to be, then the graph doesn`t look anything like yours - it looks more like an upside down parabola (sort of)

Assuming you are given the limits x=0, y=0 (with x>0) limits are 0 and pi because they are numerical solutions to

\sin(x) - x^{4}+\pi^{4}=0

(Newton-Raphson)

and

y=\sin(0)-0^{4}+\pi^{4}

- the answer on the RIGHT is incorrect

your answer is correct APART FROM your

- \cos(\pi)

which is 1 (not -1)

this means the actual correct answer (based on your integration question) is:

\displaystyle 2 + \frac{4 \pi^{5}}{5}

if a sheet or book says otherwise - it`s wrong (again, based on your question)

(edited 9 years ago)

WED.jpg5.3KB

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