alleryStart learning →A square root of the linear form 2x + 3 integrates to what?
A1/(2 sqrt(2x + 3)) + c
B(3/2)(2x + 3)^(3/2) + c
C(2x + 3)^(3/2)/3 + c
D2(2x + 3)^(3/2)/3 + c
Answer & Solution
Correct answer: C. (2x + 3)^(3/2)/3 + c
The integral of t^(1/2) is (2/3) t^(3/2), and the factor 1/2 from dt = 2 dx gives (2x+3)^(3/2)/3.
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