In Exercises 57-60, calculate the integral, assuming that f (x)dx = 1, f(x) dx = 4, f(x)dx = 7 f(x)dx 14

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Q: In Exercises 1-6, evaluate the integral using the Integration by Parts formula with the given choice…

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Q: In Exercises 57-60, calculate the integral, assuming that f (x)dx = 1, f(x) dx = 4, f(x)dx = 7

A: It is given that, ∫01fxdx=1,  ∫02fxdx=4  and  ∫14fxdx=7

Q: In Exercises 5-40, determine whether the improper integral convergesand, if so, evaluate it.

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Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

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Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A: ∫cosx5-2sinxdx∫u*vdx=u∫vdx-∫[ddx(u)∫vdx]dx∫sinx dx=-cosx+c∫cosx dx=sinx+c

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Q: In Exercises 5-40, evaluate the integral using FTC I.

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Q: In Exercises 43–47, calculate the integral, assuming that f(x) dx = 5, g(x) dx = 12 %3|

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Q: In Exercises 15-34, calculate the integral.

A: We have to calculate integral ∫12212dxx16x2-1

Q: In Exercises 55-58, calculate the integral, assuming that | S(x)dx = 1, f(x) dx = 4, f (x) dx = 7

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Q: In Exercises 63–66, calculate the integral, assuming that f is integrable and b > 0. f (x) dx = 1 –…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. t7 + 1 dt e (ExpresS

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Q: In Exercises 57-60, calculate the integral, assuming that f (x)dx = 1, f(x) dx = 4, f(x)dx = 7

A: ∫abf(x) dx=-∫baf(x)dx∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx

Q: In Exercises 61-64, express each integral as a single integral.

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Q: In Exercises 45–48, calculate the integral, assuming that •5 .5 f(x) dx = 5, 8(x)dx 12

A: Given: ∫05fxdx=5, ∫05gxdx=12 To evaluate: ∫052fx-13gxdx Solution: We know that, ∫fx+gxdx=∫fxdx+∫gxdx…

Q: In Exercises 25-28, evaluate the integral in the form a sin(u(x)) + C foran appropriate choice of…

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Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

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Q: Evaluate the integrals in Exercises 31-3v. Some integrals do not require integration by parts. cos…

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Q: In Exercises 15-34, calculate the integral.

A: we have to integrate ∫03dxx2+3

Q: In Exercises 55-58, calculate the integral, assuming that | S(x)dx = 1, f(x) dx = 4, f (x) dx = 7

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Q: Exercise 1. Evaluate the integral dx 1+e2x

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Q: In Exercises 61-64, express each integral as a single integral.

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Q: In Exercises 1-6, evaluate the integral using the Integration by Parts formula with the given choice…

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Q: In Exercises 1-6, evaluate the integral using the Integration by Parts formula with the given choice…

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Q: In Exercises 51–54, use a definite integral to find the area of the region between the given curve…

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Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

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Q: In Exercises 15-34, calculate the integral.

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Q: In Exercises 85-98, use the Change of Variables Formula to evaluate thedefinite integral.

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Q: In Exercises 63–66, calculate the integral, assuming that f is integrable and b > 0. f (x) dx = 1 –…

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Q: In Exercises 85-98, use the Change of Variables Formula to evaluate thedefinite integral.

A: Given integral, ∫0π2cos3x sinx dx

Q: In Exercises 29-76, evaluate the indefinite integral.

A: