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Question

(4ex252ex5)dx=Ax+Blog|2ex5|+c, then

A
A=5,B=3
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B
A=5,B=3
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C
A=5,B=3
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D
A=5,B=3
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Solution

The correct option is A A=5,B=3
Given : (4ex252ex5)dx=Ax+Blog|2ex5|+c

(10ex6ex252ex5)dx=Ax+Blog|2ex5|+c

(56ex2ex5)dx=Ax+Blog|2ex5|+c

5.dx3(2ex2ex5)dx=Ax+Blog|2ex5|+c

5x3log|2ex5|+c=Ax+Blog|2ex5|+c
Equating the like terms we get
A=5 and B=3
Hence, option B is correct.

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