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intsqrt(x^(2)+a^(2))dx is equal to...

`intsqrt(x^(2)+a^(2))dx` is equal to

A

`(x)/(2)sqrt(x^(2)+a^(2))-(a^(2))/(2)log|x+sqrt(x^(2)+a^(2))|+C`

B

`(x)/(2)sqrt(x^(2)+a^(2))+(a^(2))/(2)log|x+sqrt(x^(2)+a^(2))|+C`

C

`(x)/(2)sqrt(x^(2)+a^(2))-(a^(2))/(2)log|x-sqrt(x^(2)+a^(2))|+C`

D

`(x)/(2)sqrt(x^(2)+a^(2))+(a^(2))/(2)log|x-sqrt(x^(2)+a^(2))|+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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