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what is the integral of (X+1) / (X^2+2X) dX from 0 to 1​

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Answered by rajeshkumarchau
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Step-by-step explanation:

As taking 2x ,given integrand can be reduced as ,

As taking 2x ,given integrand can be reduced as ,integral 1/2x dx from 0 to 1

As taking 2x ,given integrand can be reduced as ,integral 1/2x dx from 0 to 1 Or, 1/2 times integral 1/x dx from 0 to 1

As taking 2x ,given integrand can be reduced as ,integral 1/2x dx from 0 to 1 Or, 1/2 times integral 1/x dx from 0 to 1lnx/2 from 0 to 1 { as integral of 1/x is lnx or natural log x }

As taking 2x ,given integrand can be reduced as ,integral 1/2x dx from 0 to 1 Or, 1/2 times integral 1/x dx from 0 to 1lnx/2 from 0 to 1 { as integral of 1/x is lnx or natural log x }0 - infinity = - infinity , which means no definite integral.Or integral diverges,

As taking 2x ,given integrand can be reduced as ,integral 1/2x dx from 0 to 1 Or, 1/2 times integral 1/x dx from 0 to 1lnx/2 from 0 to 1 { as integral of 1/x is lnx or natural log x }0 - infinity = - infinity , which means no definite integral.Or integral diverges,If limit of integral were -1 to 1 then your required integral would be ln 2. Or natural log 2.

I hope, It was helpful to you

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