Use-Trapezoidal-rule-with-ordinate-1-1-5-2-2-5-3-to-compute-1-3-x-1-x-dx-Mastermind-

Question Number 170413 by Mastermind last updated on 23/May/22

U s e T r a p e z o i d a l r u l e w i t h o r d i n a t e

1, 1.5, 2, 2.5, 3 t o c o m p u t e

\int_{1}^{3} \frac{\sqrt{x + 1}}{x} d x .

M a s t e r m i n d

Answered by MikeH last updated on 23/May/22

\begin{array}{cc} x & 1 & 1.5 & 2 & 2.5 & 3 \\ y = \frac{\sqrt{x + 1}}{x} & 1.41 & 1.05 & 0.866 & 0.748 & 0.667 \end{array}

\int_{1}^{3} \frac{\sqrt{x + 1}}{x} d x \approx \frac{0.5}{2} [0.667 + 1.42 + 2 (1.05 + 0.866 + 0.748)]

= 1.85

Commented by Mastermind last updated on 24/May/22

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