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EXAMPLE 3-Evaluate the following integra...

EXAMPLE 3-Evaluate the following integrals:`(i)int(e^x-1)/(e^x+1)dx` `(ii)int(5^x+1)/(5^x-1)dx`

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Given,`(i)int(e^x-1)/(e^x+1)dx`
let `u=e^x;du=e^xdx`
`int(u-1)/(u(u+1))dx`
=`int (2u−(u+1))/(​u(u+1))du `
=`2∫1/(u+1)​du−∫1/u​du`
=`2ln(u+1)−ln(u)+C`
...
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