alleryStart learning →What is the antiderivative of the reciprocal root 1/sqrt(4x + 1)?
Asqrt(4x + 1)/2 + c
B2 sqrt(4x + 1) + c
C-1/(4x + 1)^(3/2) + c
Dsqrt(4x + 1) + c
Answer & Solution
Correct answer: A. sqrt(4x + 1)/2 + c
The integral of t^(-1/2) is 2 sqrt(t), and the factor 1/4 from dt = 4 dx gives sqrt(4x+1)/2.
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