Important intergration substitution

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SUMMARY

The discussion focuses on solving the integral int^{0}_{t}[cos(sqrt{x})]dx. A user named rs8910 seeks assistance with this problem, emphasizing the importance of demonstrating prior effort in homework queries. A suggested approach includes using substitution to eliminate the square root and applying integration techniques for products of functions. Additionally, the conversation highlights the need for proper usage of LaTeX for mathematical expressions.

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  • Understanding of integral calculus
  • Familiarity with substitution methods in integration
  • Knowledge of integration techniques for products of functions
  • Basic proficiency in LaTeX for mathematical notation
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  • Learn about integration by parts for products of functions
  • Explore advanced techniques in solving definite integrals
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Students in calculus courses, mathematics educators, and anyone seeking to improve their skills in solving integrals and using LaTeX for mathematical documentation.

rs8910
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int^{0}_{t}[cos(sqrt{x}]dx can anyone tell me the solution to this question !
 
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Welcome to PF rs8910. You should note that homework is to be threaded in the homework help section, and any homework must be accompanied by reasonable evidence that you have given the question a fair shot, which means including working and where you are stuck.

I can give you some limited help though. First let try a substitution that would get rid of that square root sign, and try some method of integrating products of 2 functions.

EDIT: I see you have given [tex]\LaTeX[/tex] a good shot, but you still need to learn how to use it properly. To see what something typed to form the TeX you see, just press on the image. It will also link you to a LaTeX guide.
 

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