Use left endpoints with n = 4 to approximate $\int _ { 1 } ^ { 3 } \ln x d x$
A)2.015
B)0.5037
C)1.5568
D)0.3317
E)1.0075
F)3.1135
G)0.7784
H)0.3844

Name: Use left endpoints with n = 4 to approximate $\int _ { 1 } ^ { 3 } \ln x d x$ A)2.015 B)0.5037 C)1.5568 D)0.3317 E)1.0075 F)3.1135 G)0.7784 H)0.3844
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Question

Use left endpoints with n = 4 to approximate $\int _ { 1 } ^ { 3 } \ln x d x$ 
A)2.015
B)0.5037
C)1.5568
D)0.3317
E)1.0075
F)3.1135
G)0.7784
H)0.3844

Quizplus · Accepted Answer

The interval [1, 3] is divided into 4 subintervals of equal width 0.5. Using left endpoints, the approximation is: 0.5(ln(1) + ln(1.5) + ln(2) + ln(2.5)) = 1.0075.

Use Left Endpoints with N = 4 to Approximate ∫13ln⁡xdx\int _ { 1 } ^ { 3 } \ln x d x∫13​lnxdx

Use Left Endpoints with N = 4 to Approximate $\int _ { 1 } ^ { 3 } \ln x d x$