Chapter 4: Q. 13 (page 362)
Show thatis an anti-derivative of
Short Answer
It is shown that.
Chapter 4: Q. 13 (page 362)
Show thatis an anti-derivative of
It is shown that.
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Get started for freeProve Theorem 4.13(c): For any real numbers a and b, Use the proof of Theorem 4.13(a) as a guide.
Show by exhibiting a counterexample that, in general, . In other words, find two functions f and g such that the integral of their quotient is not equal to the quotient of their integrals.
Determine which of the limit of sums in Exercises 47–52 are infinite and which are finite. For each limit of sums that is finite, compute its value
Determine which of the limit of sums in Exercises 47–52 are infinite and which are finite. For each limit of sums that is finite, compute its value.
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
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