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

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The discussion centers on verifying the integration of the function y' = sin(x) - 2x^4. Participants are asked to confirm the correctness of two derived solutions: y' = sin(x) + 2x^4 + c and y = -cos(x) - (2/5)x^5 + c1x + c2. The original poster seeks assistance with integrating the function twice, either by hand or using software like Maple. The conversation emphasizes the need for clarity in the integration process and the accuracy of the resulting equations. Overall, the focus is on ensuring the mathematical solutions are correct.
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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