Use the Fundamental Theorem to evaluate the definite integral exactly. c2 1 dx 1

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integrals. 3 (x + 1)² dx…

A: See the details solution in the details

Q: Evaluate the definite integral. (Assume a > 0.) ra2/5 x*V a² - x5 dx

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Q: Use the fundamental theorem of calculus to evaluate the following definite integral. (2x? + 2) dx…

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

Q: Evaluate the definite integral. Write your answer in terms of . (y +1) dy

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. V3 2 8 dx V1-x?

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Q: Use Jo x? dx = 72 to evaluate each definite integral without using the Fundamental Theorem of…

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Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 7 dx V1-x?

A: Please refer the attached image for complete solution.

Q: Evaluate the following integral. dx J secx-1 dx sec x-1 (Use C as the arbitrary constant.)

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Q: Evaluate the definite integral. rn / 2 csc(t) cot(t) dt T / 4

A: The integration of cosecant cotangent is of the form ∫csc(x)cot(x)dx=–csc(x)+c

Q: Evaluate the definite integral. Si f (x) dæ, f (x) =4"-(7a+ 13)/a?

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Q: 10 Sin h (Ux)

A: we have to find integration

Q: Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

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Q: Evaluate the definite integral (cos(t), sin(t))dt

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Q: Evaluate the integral. x2 cos(7 x) dx +C

A: The given integral is: I=∫x2 cos(7x) dx

Q: А A = e sin xda

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Q: Evaluate the definite integral. 5 cos(πt/2) dt

A: We have to find

Q: Evaluate the definite integral?

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Q: e) Apply the Fundamental Theorem of Calculus in order to evaluate the definite integral: + 2)* dz =

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Q: Rewrite x sin (T – x) dx as the equivalent definite integral in terms of u, - but do not evaluate.…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

Q: evaluate the integral.

A: To evaluate the given integral.

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. S(ax? +9) dx 2…

A: use fundamental theorem to find the integral

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integrals. 3 (x + 1)² dx…

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Q: (2 + x /T)dx

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Q: use the indicated substitution to evaluate the integral.

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Q: Evaluate the definite integral. S2 f(x) dx, ƒ (x) =(5sec2 x+7/tan x)//tan a

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Q: Evaluate the integral. cos x dx

A: We have to evaluate the integral.

Q: Evaluate the definite integral T 8 sin(x)da

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Q: (x² + 2x) cos(2x) dx

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Q: Evaluate the definite integral. sin(4t)dt

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Q: Evaluate the definite integral. 5 sin (z) cos(x)dx 0.

A: Given query is to find value of the integral.

Q: Let a, b, and C be a constant, verify the following indefinite integral. IVa+bx dx 2 (3bx – 2a)(a +…

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Q: Evaluate the definite integrals 36 a) Vi dt = ... ... 16 b) dz 3D ... ... 64 c) 返 dx = %3D

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Q: dz 3x2 +8

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Q: Evaluate the definite integral. c (x) tan (x) dx = se 0.

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Q: Evaluate the definite integral. esin (a) cos(x) d x

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Q: . Evaluate the integral Z (sin θ + cos θ) dθ.

A: Given that: ∫(sin θ + cos θ) dθ.

Q: Evaluate the definite integral. Watch It dx 1 + 3x? 3.

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 e 2x dx…

A: The given definite integral,         ∫028 e2xdx

Q: Evaluate the integral. cos-1(x) d.

A: We have to evaluate I=∫cos-1(x)dx

Q: Evaluate the integral. 3 sin-x dx +C %3D

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Q: Evaluate the definite integral. 7 cos(t/2) dt

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Q: Evaluate the definite integral: 1 dx 2. x· COS

A: Solution

Q: Evaluate the integral. 14 sin (x) cos (x) de

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Q: Use the Fundamental Theorem of Calculus to decide if the definite integral exists and either…

A: Explanation of the answer is as follows

Q: Evaluate the integral COS° x dx

A: the given function can be integrated directly  it need to be converted into integrable form

Q: Evaluate the definite integral. be*in (z ) cos(r)dz

A: Ise substitutions to integrate