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How to integrate fraction?
How do you integrate
1/(100+t) dt
1 Answer
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- 1 decade agoFavorite Answer
Use the substitution method.
The original function is:
1/(100 + t) dt
let u = 100 + t
then differentiate u:
du/dt = 1
du = dt
From these information, you can reword the function again into:
1/u du
Now, you'll need to remember a formula where the integral of 1/x = ln |x|
This applies here, where you can integrate this function into:
ln |u| + C
But u = 100 + t,
so the answer will equal to:
ln |100 + t| + C --> finished.
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