Question

Considering four sub-intervals, the value of ${\int }_0^1\frac{1}{1+x}dx$ by Trapezoidal rule, is

• A. $0.6870$
• B. $0.6677$
• C. $0.6977$
• D. $0.5970$

Answer 1

The correct option is C $0.6977$

Trapezoidal rule gives
${\int }_0^1\frac{1}{1+x}dx=\frac{h}{2}[y_0+2(y_1+y_2+y_3)+y_4]$

$=\frac{1-0}{2\times 4}[1+2(0.8+0.67+0.571)+0.5]$

$=0.6977$