Evaluate the definite integral (exact value): 0. dx = -1/4 V 16 x + 8 x +2

Q: Simplify the following expression d/dx of the integral from 0 to x2 sin(t3)dt

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Q: Use an appropriate substitution to show that the value of the following definite integral has value…

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Q: Find the following indefinite integral. Use C for the constant of integration. VI + 3 V) dx Answer

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Q: compute the value of f f(x) dx? If so, what rules would you use to calculate the value of this…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Evaluate the given integral. Use exact values. – 2x – 14 dx (x + 3)(x – 5) +C

A: topic - indefinite integral

Q: Evaluate the definite integral using the given values

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Q: sin(6x) Vi? +4 dt 7

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Q: T 11x + 29 dx The integral is equal to

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Q: :Find the integral for the following functions: - Se3x .sinh(x) dx

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Q: Use Simpson's Rule to approximate the value of the definite integral 2x dx with n = 8. a. 16.9283 b.…

A: Simpson rule formula is: ∫082x4 dx≈∆x3f(x0+4f(x1)+2f(x2)+4f(x3)+...+f(xn))...(1) Here, ∆x=8-08=1,…

Q: The velocity of a moving object is given by the function v(t) meters per second, with 0<t< 3. Use a…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x'…

A: We calculate the given integral by substitution.

Q: If f(x) has units of "pounds per foot" and x is measured in feet, what are the units of the integral…

A: Given, fx has a units of "pounds per foot" and x is measured in feet . We have to find the units of…

Q: Calculate the definite integral by referring to the figure with the indicated areas. dx y = f(x)…

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Q: Use the indicated substitution to evaluate the integral.

A: Given:           ∫012x21−x2dx,  x=sinθ

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use appropriate substitution and reduce the integration in easy form then solve it.

Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Here we have to find the Given integral using substitution method.

Q: Evaluate the definite integral. 4 ti + t?j| dt

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Q: Use the substitution a 3 sin t to evaluate the integral f V9 – x² dx.

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Q: Using an appropriate substitution, the integral f e cos(e* + 1) dx is equal to:

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Use integration by parts to evaluate the integral: ∫sin(−12r)/e^2r

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Q: Find the general indefinite integral or evaluate the definite integral, as necessary. 10 d) S.º; dx…

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Q: Evaluate the definite integral. e sin (t) dt %3D

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Q: Given R, express its limits as n → o as a definite integral, identifying the correct interval. Rn…

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Q: |/ (cos(x) + sin(x))² dx

A: *Used the (a+b)2= a2 + 2ab + b2 formula.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: To calculate the integral

Q: Find the following integral, given that f (x) dx = 10 and | 6)*dx = 14. 9. b.

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Q: Evaluate the definite integral using the given values

A: Given integrals with their values - ∫26x3dx = 320           ..............(1)∫26xdx = 16…

Q: use the indicated substitution to evaluate the integral.

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Q: Use the substitution x = 3 sin t to evaluate the integral f v9 – x² dx. - Note: Use C for an…

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Q: calculate the integral in terms of the inverse hyperbolic functions.

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Q: Evaluate the definite integral on the interval [0, pi/4] sin(t) / cos^2(t)  dt

A: By substitution, we calculate the value of given integral.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t°j dt 0.

A: this is a problem related to vector integration. Based on the general formula and concepts we will…

Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx

Q: Evaluate the definite integral. Si f (x) dæ, f (x) =3"–(15x³+ 6)/a?

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Q: Evaluate the following integral. (Use C for the constant of integration.) л tan 8x 2 л dx 2 sec 8x

A: Assume u=8x - pi/2.From there find dx

Q: Evaluate the definite integral. t10 sin (t11) dt

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Q: [sin x dx

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Q: Use the substitution x = 6 sec t to evaluate the integral f dx xvx²-36 Note: Use C for an arbitrary…

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Q: Evaluate the definite integral. "Tt/2 " d(sin x)? dx = (sin x)2 dx =

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Find the following integral, given that f (x) dx = 8. -b+7 f (x – 7) dx =

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Q: sin(Int) dt t 1

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Q: Evaluate the given definite integral. V11 X dx ++25 V11 dx = (Simplify your answer.) Jx + 25

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Q: b) r.e dr

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