Hard integration problem

In summary, the "hard integration problem" in science refers to the challenge of integrating knowledge and methods from different disciplines to address complex scientific questions or problems. It is important because many pressing issues facing our world today require collaboration between different fields of science. The main barriers to solving this problem include differences in terminology, methodologies, and cultures between disciplines. To overcome it, scientists can actively seek out opportunities for interdisciplinary collaboration and communication. Examples of successful integration in science include the development of the theory of evolution and the use of interdisciplinary approaches to address the COVID-19 pandemic.
  • #1
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Untitled 3.png


Can you please help me ?
I have tried to do it many times but still got the wrong answer.
Thank you in advance.
 
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  • #2
Make the substitution $t = \sin x$.
 
  • #3
Opalg said:
Make the substitution $t = \sin x$.
Untitled 5.png
I am stuck here
Can you please help me ?
 
  • #4
Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.
 
  • #5
Opalg said:
Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.
Thank you very much
I understand now
 

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