

Integrals using substitution
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Richard Underwood
Used 6+ times
FREE Resource
5 Slides • 4 Questions
1
Integrals using substitution

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Open Ended
If u= x2 and f(u)= u3 then find ∫f(u)du as a function of u.
3
Open Ended
If u= x2 and f(u)= u3 then find ∫f(u)du as a function of x this time.
4
Multiple Choice
If u=x^2, what does du = ?
du=dx
du=2x dx
dxdu=2x
du= 31x3
du= x3+c
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Open Ended
∫f(x)dx ∫f(u)du ∫f(x)du ∫f(u)dx
Let f(x)=x3+1 and u=x2, which of these are equivalent?
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Integration using substitution
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Identify an "inside" function as your u-function
Then find the derivative of that u-function in terms of x.
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Now you can simplify and integrate
Substitute the u-function and the value of du to make the integrand easier to integrate, then integrate and finally substitute back to have an equation in x.
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https://youtu.be/b76wePnIBdU go to this link!
Integrals using substitution

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