Is My Integration Correct for y' = sinx - 2x4?

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SUMMARY

The discussion centers on the integration of the function y' = sin(x) - 2x^4. The user seeks verification of their solutions, which include y = -cos(x) - (2/5)x^5 + c1x + c2 after integrating twice. The integration was performed using either manual methods or mathematical software like Maple. The solutions provided are confirmed as correct for the given function.

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Student4
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Can anyone just help me integrate this 2 times. (with maple or somekind math program, or hand).
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Need to see if my 2 solutions is correct. :approve:
 
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Student4 said:
Can anyone just help me integrate this 2 times. (with maple or somekind math program, or hand). Need to see if my 2 solutions is correct for this one. :approve:

View attachment 40636
Show us what you got.
 
y'=sin(x)+2x^4+c
y=-cos(x)-2/5x^5+c
 
the solution should be ...

y' = sinx - 2x4 + c1

y = -cosx - (2/5)x5 + c1x + c2
 

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