@@InshalHassan-r4s The 1/2 is correct. To integrate 2/(4x-1), you use substitution for the 4x-1 (he just didn't show the steps). u = 4x - 1, du = 4dx. S 2/(4x-1) dx = 2 S 1/(4x-1) *1/4 * 4 dx = 2 *1/4 S 1/u du = 1/2 S 1/u du = 1/2 ln |u| = 1/2 ln |4x-1|
@@gracecook7661 or simply, since integration of 1/(ax+b) = (1/a) × ln|ax+b|, integration of 2/(4x-1) = 2 [(1/4) × ln|4x-1|. Thus, it becomes ½ ln|4x-1|.
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It's an wrong answer sir
It's not 1/2 before ln,
It's 2.
@@sauvejean-luc3814 That's what I am thinking
@@InshalHassan-r4s The 1/2 is correct. To integrate 2/(4x-1), you use substitution for the 4x-1 (he just didn't show the steps). u = 4x - 1, du = 4dx. S 2/(4x-1) dx = 2 S 1/(4x-1) *1/4 * 4 dx = 2 *1/4 S 1/u du = 1/2 S 1/u du = 1/2 ln |u| = 1/2 ln |4x-1|
@@sauvejean-luc3814 Thanks man! I also got confused
@@gracecook7661 or simply, since integration of 1/(ax+b) = (1/a) × ln|ax+b|, integration of 2/(4x-1) = 2 [(1/4) × ln|4x-1|.
Thus, it becomes ½ ln|4x-1|.
You are too fast mr