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Evaluate: intx/(sqrt(x^4+a^4))dx...

Evaluate: `intx/(sqrt(x^4+a^4))dx`

Text Solution

Verified by Experts

We have given,
`intx/(sqrt(x^4+a^4))dx`
Let
`I=intx/(sqrt(x^4+a^4))dx`
`I=(1/2)int(2x)/(sqrt(x^4+a^4))dx`
`I=(1/2)int(d(x^2))/(sqrt((x^2)^2+(a^2)^2))dx`
`I=(1/2)log|x^2+sqrt(x^4+a^4)|+c`
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