Sam Z. answered • 07/25/20

Math/Science Tutor

I=∫ln(1+x)dx

0

I=x ln(1+x)−∫dx+∫1/(1+x)dx =2.0273integral

.5 =0 differential

Helayna I.

asked • 07/25/201.)

a-Evaluate the integral from 0 to 1/2 of ln(1+x)dx with an accuracy of 10^-4 using techniques of integration and a calculator.

b- Now approximate the integral from 0 to 1/2 of ln(1+x)dx to an accuracy of 10^-4 using the Maclaurin series of ln(1+x) and term-by-term integration. You will have to figure out how many terms of the series must be used. Are the answers to a) and b) very similar numbers?

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Sam Z. answered • 07/25/20

Tutor

4.3
(12)
Math/Science Tutor

I=∫ln(1+x)dx

0

I=x ln(1+x)−∫dx+∫1/(1+x)dx =2.0273integral

.5 =0 differential

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