Question
Evaluate the following definite integral.
sqrt(11 x)(sqrt(x) + sqrt(11)) dx between(0,1)
sqrt(11 x)(sqrt(x) + sqrt(11)) dx between(0,1)
Answers
Steve
∫√(11x)(√x + √11) dx
= ∫√11 x + 11√x dx
now it's just straight powers of x, so we have
∫[0,1] √11 x + 11√x dx
= √11 x^2/2 + 11(2/3) x^(3/2) [0,1]
= 22/3 + √11/2
= ∫√11 x + 11√x dx
now it's just straight powers of x, so we have
∫[0,1] √11 x + 11√x dx
= √11 x^2/2 + 11(2/3) x^(3/2) [0,1]
= 22/3 + √11/2