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hi this is for calculus 2. i need help with these question please! i need full credit. 1) The integral I = dx is important

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hi this is for calculus 2.

i need help with these question please! i need full credit.

image text in transcribed
1) The integral I = dx is important in the design of precise photographic lenses (among other applications). The function f(x) = , however, has no elementary antiderivative, so The Fundamental Theorem of Calculus cannot be used to calculate the value of the integral. Use the Trapezoidal Rule, the Midpoint Rule and the Simpson's Rule to approximate the numerical value of the integral. Use n = 10. 2) The following data shows the velocity v(t) recorded by instruments on board a submarine traveling under the polar icecap directly towards the North Pole. Use the Trapezoidal approximation and the Simpson approximation to estimate the distance s = So v(t) dt traveled by the submarine during the 10-h period from t=0 to t=10. t: 0 1 2 3 4 5 6 7 8 9 10 h v: 12 14 17 21 22 21 15 11 11 14 17 mi/h

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