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𝘶-substitution warmup

FUN‑6 (EU)
FUN‑6.D (LO)
FUN‑6.D.1 (EK)
Before diving into our practice exercise, gain some risk-free experience performing 𝘶-substitution.
Find each indefinite integral.

Problem 1

integral, cosine, left parenthesis, x, squared, right parenthesis, 2, x, d, x, equals
plus, space, C

Problem 2

integral, start fraction, 3, x, squared, divided by, left parenthesis, x, cubed, plus, 3, right parenthesis, squared, end fraction, d, x, equals
plus, space, C

Problem 3

integral, e, start superscript, 4, x, end superscript, d, x, equals
plus, space, C

Problem 4

integral, x, dot, square root of, start fraction, 1, divided by, 6, end fraction, x, squared, plus, 1, end square root, d, x, equals
plus, space, C

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