1/2 cos t Evaluate the integral o dt. 4.- sin? t In a Give your answer in the form where a and b are integers and 1 < a, b < 8. b

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A: According to the given information, it is required to evaluate the integral.

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A: Solution of the problem as follows

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. In 3…

A: Given integral can be evaluated by using trigonometric substitution method as shown below

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Q: 1. Find the indefinite integral. Show all solutions. tan 0 In(cos 0)de (Hint: Do substitution…

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Q: 8. Evaluate the definite integral. (a) "(1+ sin x) dx =2+7 xP z/ Z- e (b) хе

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Q: 10 - Which integral is corresponding to the followings Riemann sum? 6i 6 -3 +– lim sin t%3D1 i.…

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A: To evaluate the given indefinite integrals. 1). ∫x12+112·12x-12dx Solution: Let x12+1=t…

Q: 10. (a) Evaluate the following integral analytically. (b) Evaluate the integral numerically using…

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A: Given:         ∫0∞e-7x2dx   substitute u=7x→dudx=7→dx=17du         =π27∫2e-u2πdu

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Q: Section 11.6: Calculus of Vector-Valued Functions - #49

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.