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kLPantera
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I'm confused as to when to change the limits on a definite integral.
Ex. Integral with the limits a=1, b=5, 3/(x+1)dx
I set u = x+1 and du = dx
I used u-substitution and everything worked out fine.
However for this one...
Ex. Integral with the limits a = 0, b = 2, 6x^2/sqrt((x^3)-1)
I used u-substitution u = sqrt((x^3)-1) and so 2du = (6x^2)dx
However the book says I need to change the limits of the integral.
So I'm not sure when to change the limits of an integral. Can anyone help? Thanks =D
Ex. Integral with the limits a=1, b=5, 3/(x+1)dx
I set u = x+1 and du = dx
I used u-substitution and everything worked out fine.
However for this one...
Ex. Integral with the limits a = 0, b = 2, 6x^2/sqrt((x^3)-1)
I used u-substitution u = sqrt((x^3)-1) and so 2du = (6x^2)dx
However the book says I need to change the limits of the integral.
So I'm not sure when to change the limits of an integral. Can anyone help? Thanks =D