- #1

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[tex]\int\arctan 4t\,dt[/tex]

?

This is out of a section on integration by parts. Maybe that would help but I don't see any "parts." I only see one, the arctan.

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- Thread starter tandoorichicken
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- #1

- 244

- 0

[tex]\int\arctan 4t\,dt[/tex]

?

This is out of a section on integration by parts. Maybe that would help but I don't see any "parts." I only see one, the arctan.

- #2

Math Is Hard

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Let u = arctan4t

dv = dt

dv = dt

- #3

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Integration by Parts:

[tex]\int u\,dv = uv - \int v\,du [/tex]

[itex]u = \arctan 4t , \,dv = dt , v = t\,dt , \,du = \frac{4}{16t^2 + 1}[/itex]

[tex]\int\arctan 4t\,dt = t\arctan 4t - \int\frac{4t}{16t^2 + 1}\,dt = t\arctan 4t - \frac{1}{8}\ln(16t^2 + 1) + C [/tex]

- #4

Math Is Hard

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yup! looks good to me!

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