Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Use the Trapezoidal Rule to approximate ∫2−1ex2dx using n=4. Round your answer to the nearest hundredth.

Use The Trapezoidal Rule To Approximate 21ex2dx Using N4 Round Your Answer To The Nearest Hundredth class=

Sagot :

[tex]\begin{gathered} \int_{\text{ -}1}^2e^{x^2}=\frac{h}{2}(e^{(\text{ -1\rparen}^2}+e^{2^2}) \\ \\ h=(b\text{ - }a)/n=(2\text{ - \lparen-1\rparen\rparen/4=}\frac{3}{8}\text{ } \\ \int_{\text{ -1}}^2e^{x^2}=\frac{3}{8}(e+2e^{\frac{1}{16}}+2e^{\frac{1}{4}}+2e^{\frac{25}{16}}+e^4) \\ \\ =\frac{3}{8}(2.72+2.13+2.57+9.54+54.6) \\ \\ =\frac{3}{8}(71.56)=26.84 \end{gathered}[/tex]

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.