Mr. K asks:

Integrate:

**Solving:**

For the integrand substitute and

For the integrand , do long division:

Integrate the sum term by term and factor out constants:

For the integrand substitute s=u+1 and ds=du

The integral of is log(s)

The integral of 1 is u

+ constant

Substitute back for ( =x^1/2)

Integrate the sum term by term and factor out constants:

For the integrand substitute s=u+1 and ds=du

The integral of is log(s)

The integral of 1 is u

+ constant

Substitute back for ( =x^1/2)

+ constant

🙂

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