A Tricky Integral Problem with Solution by Substitution | Integral Calculus

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Integration by substitution method

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  1. Mathsiyan
  2. integration
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  5. exponential function
  6. integration of exponential functions
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Комментарии
Автор

I found this integral relatively simple. I'm struggling with the same integral but with a 1 on top instead of the x.

miguelvieira
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Hey Everyone!I 'm really new to calculus and had a doubt. Say we consider 1+x4=p so differentiating we get dp/dx as 4x^3 now we get dp as 4x^3 dx.
Let us cube the integral and multiply and divide by 4. We get the integral of dp/4p^3 by substitution and then what we do is we drag 1/4 out and integrate. So we get p^-2 / -2 and the integral comes out to be -1/8p^2. So what is the problem here?I did not even get tan in my soln?

sanatankaushik
Автор

After second step u can solve it by tan inverse (x²)*(1/2) +C

ahmednabil