1. Evaluate the following integrals using integration by parts. Clearly denote what is playing the role of u, du, du, and v. (a)

Question

1. Evaluate the following integrals using integration by parts. Clearly denote what is playing
the role of u, du, du, and v.
(a) [In rd.r
Hint: The integral is equivalent to
(b) In²
]nrdr
of
-0
Hint: Set u = ln² r as in the integration by parts formula. Use your answer from part (a)!
(e) | arctan(r)dr
Hint: Use the same hint from part (a).
(e) |_=
fimr.
*(d) [2²³ cos (1²)da
Hint: Rewrite the integrand as 1². r cos(2²). Now experiment as to what to set u and du
equal to. Do not use online resources!
r sin ædr
In z 1dx.

Kunduz · Accepted Answer

Click to see the answer