Evaluate the definite integrals using the Fundamental Theoren 3. (a) (x+2)(x-2)dx (b) (4ex ) dx 1/4 (c) (e (sin(x) – sec(x)tan(x) + 1) dx

Q: Evaluate the definite integral using the first four Newton-Cotes quadrature а. x cos xdx 3 x + 3 dx…

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Q: Evaluate the indefinite integral. x° cos (x) dx =

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Q: Find the indefinite integral. ∫cos3 x sin4 x dx

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Q: Evaluate the definite integral. π/2 1- cos(2x) dx

A: Answer:-(1) Given the integral,     ∫sin2x cos22x dx=∫44*sin2x cos22x dx…

Q: Evaluate the integral (sin (x/7) dx .2 49-x2 2 sin -1(x/7) dx /49-x² %3D

A: ∫sin-1x/7249-x2dx

Q: ind the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of in 5 dx…

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Q: 1 use this fact and the properties of definite integrals to evaluate 3 (7 - 6х2) dx. Given that x²…

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Q: Evaluate the definite integral. 4 x³cos (x4) dx

A: Our Aim is to evaluate the integral given below:-

Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

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Q: Use the Fundamental Theorem to evaluate the definite integral exactly.   ∫83(x3−πx2)dx

A: Given:

Q: Evaluate the definite integral (if it exists) 1/3 -4 sin(x) dz cos² (1) If the integral does not…

A: Substitute cos(x)=t⇒-sin(x)dx=dt At x = 0, t = 1 At x=π3, t=12 The definite integral is: I=4∫112dtt2

Q: Evaluate the integral.  integral sin 3  x cos 5x dx

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Q: Find integral of sin^2 (x/2) dx with bounds of 0 to pi

A: Find the integral of sin^2 (x/2) dx with the bounds 0 to π.

Q: Evaluate the definite integral 3 2 sin (2)dx using Part 1 of the Fundamental Theorem of Calculus. 57…

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Q: Evaluate the definite integral. 2 cot-¹(x) 1+x² 1 - 1 -dx

A: To evaluate the integral.

Q: 62-a2 x dx = cos(x) dx = 1, together with the properties of definite integrals, to evaluate (2…

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Q: Find the indefinite integral. X cos 8TX2 dx

A: To evaluate the integral: I=∫x cos 8πx2 dx⇒I=∫cos 8πx2 x dx...(1)

Q: Evaluate the definite integral. 1/3 3 dx 1- 9x2

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Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

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Q: Evaluate the definite integral 2 x* +3x' -dx 1

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Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: Find the indefinite integral. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: Evaluate the definite integral. 1/3 3 dx 1 - 9x2

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Q: Evaluate the definite integral. 4 (x2 - 3) dx -4

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Q: Find the indefinite integral. | x cos 9x² dx

A: Given : ∫xcos(9πx2)dx

Q: evaluate the definite integral  0-1 4x^3 dx

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Q: - 9x²) dx. x² dx = use this fact and the properties of definite integrals to evaluate Given that

A: The given integral ∫016-9x2dx and ∫01x2dx=13

Q: Evaluate the integral ∫(sin-1(x/5))2/√(25-x2) dx

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: What is the definite integral of sin^5 (x) cos^3 (x) dx if the lower limit is zero & the upper limit…

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Q: 1-sin 2x dx 2 x-sin x

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Evaluate the definite integral. (1/10 sin-1(5x) dx 1 - 25x2

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Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: cos (x)sin(x)dx

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Q: Evaluate the indefinite integral: cos° x sin x dx

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Q: Evaluate the definite integral 27 3 16 sin (x)dx using Part 1 of the Fundamental Theorem of…

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Q: Evaluate the definite integral exactly, using the Fundamental Theorem. / (1² + 4x + 3)dx =

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Q: Evaluate the definite integral. 1 2 sin-'(x) dx /1 – x²

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Q: Evaluate the indefinite integral sin2 x cos x cos xdx =

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Q: Evaluating real integrals using the residue theorem. 5.0⁰ ∞x sin(3x) x² + 16 -dx =?

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Q: Evaluate integral 0 to pie sin 2 x cos 4 x dx

A: To Evaluate the integral given below:-I=∫0πsin2(x)cos4(x)dx

Q: cos(9x) -dx COS J 1+ sin²(9x)

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Q: Evaluate the integral.  integral sin 3  x cos 2 x dx

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Q: Evaluate the definite integral. x² - dx x' -1

A: Given,          ∫x2x3-1dx

Q: Find the general indefinite integral.

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Q: Evaluate the definite integral: 1/5 dx 1-x2

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Q: Evaluate the integral cos3 x + sin² x + 1 dx cos² x (sin2 x + 1)

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Q: (sin-l x)² dx V1-x²

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Q: Evaluate the definite integral. 2 sin-(x) -dr 1 - a² -1

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Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx