Use the Trapezoidal Rule to approximate the integral with answers rounded to four decimal places.
$$\int _ { 0 } ^ { 1 } \frac { d x } { 2 x + 4 } ; \quad n = 7$$
A) $0.2029$
B) $0.1088$
C) $0.1163$
D) $0.2326$

Question

Quizplus · Accepted Answer

The Trapezoidal Rule with $n=7$ subintervals is$$\frac{1-0}{7} \left[ \frac{1}{2(0)+4} + 2 \left( \frac{1}{2(1/7)+4} + \frac{1}{2(2/7)+4} + \frac{1}{2(3/7)+4} + \frac{1}{2(4/7)+4} + \frac{1}{2(5/7)+4} + \frac{1}{2(6/7)+4} \right) + \frac{1}{2(1)+4} \right] \approx 0.2029$$

Use the Trapezoidal Rule to Approximate the Integral with Answers ∫01dx2x+4;n=7\int _ { 0 } ^ { 1 } \frac { d x } { 2 x + 4 } ; \quad n = 7∫01​2x+4dx​;n=7

Use the Trapezoidal Rule to Approximate the Integral with Answers $\int _ { 0 } ^ { 1 } \frac { d x } { 2 x + 4 } ; \quad n = 7$