(tan t + sin t) cos t dt

Q: Evaluate the following integral using the Fundamental Theorem of Calculus.

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

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Q: Evaluate the integral. бл t2 sin(2t) dt

A: We will apply ILATE rule hence t2 will be first function and sin2t will be second

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 integral. t2 sin(2t) dt

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. | 4x(1 – x² )dx = i -1

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Q: Evaluate the indefinite integral. asin (a)cos(2)dz: + C %3D

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Q: Evaluate the indefinite integral: ∫ cos t cos(sin t) dt

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Q: Evaluate the integral. ∫ t2 Sinβ t dt

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Q: Evaluate the integral.  integral  t 2 sin 2  t dt

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Q: Use the fundamental theorem of calculus part 2 to evaluate the 3 integral: (8 sin x) dx. Noto: Round…

A: Our Aim is to evaluate the integral given below:-∫π/4π/3 (8 sin x) dx -(i) using Fundamental Theorem…

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: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: Evaluate the integral.

A: Consider u=lnt. Then, du=dttdt=tdu

Q: Evaluate the indefinite integral sin (t)cos (t)dt

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Q: Evaluate the integral. (11 - t)/e dt

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Q: Evaluate the integral.

A: The integral ∫0π6tsin2tdt. We have to evaluate the value of this integral.

Q: Consider the definite integral. (8x- – 1) e*x²-x dx Let u = 4x2 - x. Use the substitution method to…

A: Answer and explanation is given below

Q: cos e 3 + 2 sin 0 + sin? 0 29. de

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Q: Use the Fundamental Theorem of Calculus to evaluate the integral: 5/4 sin x dx. Jπ/2 C. A. - B. D.…

A: The objective of the question is evaluate definite integral using the fundamental theorem and choose…

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: Evaluate the indefinite integral. fasin (2)cos(=)dz : + C

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Q: Obtain a formula that expresses the integral [cos". cos" x dx

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

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Q: Evaluate the definite integral using the Fundamental Theorem of Calculus. 7/4 (8 sin(x) + 2 cos(2x))…

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

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 1/2 | (cos x- 4) dx -1/2…

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Q: Find the indefinite integral.

A: Given : ∫tan2tt2dt

Q: 3. Use the Fundamental Theorem of Calculus Part 2 to evaluate the integral, or state why the…

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Q: Use the Fundamental Theorem to evaluate the definite integral exactly. | (sint + cos t) dt %3D

A: We have to solve the problem

Q: Evaluate the integral. cos t dt

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Q: Evaluate the integral | (-9 sin(t) – 4 cos(t)) dt Integral =

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Q: Evaluate the integral 3 sin(t)dt

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Q: Evaluate the following definite integral using the Fundamental Theorem 1 of Calculus: 5+ dx x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the definite integrals using the Fundamental Theorem of Calculus. 3 (a) J. (x+2)(x-2) dx…

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

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

A: It is given that,∫sinθ cos3θ dθ ,  u=cosθ. We have to write the integral in terms of u and du. Then…

Q: Evaluate the definite integral. t3 sin (t4) dt %3D

A: We use substitution method

Q: c) csc² 0 d® d) (x- 1)(3x +2) dx e) S" /4 1+cos e de cos? e

A: Here the given integral Now

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

A: ∫sec7θ tanθ dθ=∫sec6θ secθ tanθ dθ Now put, secθ=t⇒secθ tanθ=dtdθ⇒secθ tanθ dθ=dt

Q: In Exercises 15-32, evaluate using trigonometric substitution. Refer to the table of trigonometric…

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 2 | 4x(1 – x² )dx = i -1

A: Given,    ∫-124x(1-x2)dx

Q: Evaluate the integral [I-÷+1]dx by the evaluation part of the Fundamental Theorem of Calculus

A: