Review Problems from Calculus 1
Name: _________________________________
1. Evaluate the following integrals without using technology. Show all work.
𝟗
√𝒙 − 𝟐𝒙𝟐
! "
' 𝒅𝒙
𝒙
𝟎
!(𝒙 + 𝒆𝒙 )𝒅𝒙
2. Use the product and chain rules to differentiate the following functions. Write your final answers
without negative exponents.
𝒉(𝒙) = (𝐥𝐧(𝒙))(√𝒙)
𝒈(𝒙) = (𝐭𝐚𝐧(𝟑𝒙))𝟐