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Evaluate :int(dx)/(50+2x^2....

Evaluate :`int(dx)/(50+2x^2.`

Text Solution

Verified by Experts

The correct Answer is:
`I=int(dx)/(50+2x^2 ) therefore I=1/2int (dx)/((5^2)+x^2`)
`therefore I=1/2 cdot 1/5 tan^-1(x/5)+c` where c is the constant of integration`=1/10tan^-1 (x/5)+c,` where c is the constant of integration.
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