Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and fractions where needed.) 2 dx =

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A: We evaluate the given integral

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx VTe(26/a)

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

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A: Use fundamental theorem of calculus to evaluate the integral.

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Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 2s - 6 ds

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Q: 3. What are the integrals of tan x and cot x? sec x and csc x?

A: Part (a) - Let the integral be y - y = ∫tanx dx  y = ∫sinxcosxdx…

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A: To evaluate:∫cscx-tanx2dx

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A: Given: ∫64-x2xdx

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A: We first express the integrand using exponents and take 7 out, then we integrate it.

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A: We have to solve the following integral -  (a) ∫x9-x2dx

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A: dtanθdθ =sec2θ ∫xn dx = xn+1n+1+C

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A: Topic:- integration

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A: Given that, ∫-114x2+1dx=4[tan-1x]-11 =4[tan-11-tan-1-1]=4[π4-(-π4)]=4[π4+π4]=4×π2=2π

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4x²e" dx = +C

A: Given:          ∫4x2ex3dx         =4∫x2ex3dx substitute u=x3→dudx=3x2                     dx=13x2du…

Q: a) Evaluate the integrals using appropriate substitutions. Sine ii) S de Cos0+1

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e- dx…

A: Use the appropriate substitution and simplify the Integral then integrate.

Q: Evaluate the integral. '(v©) do sec NOTE: Enter the exact answer.

A: Use basic identities of integration.

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. dx +C…

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Q: Evaluate the integral using the properties of even and odd functions as an aid.

A: to evaluate the integral

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Q: Evaluate the definite integrals exactly using the fundamental theorem of calculus. A) ſ, x+ vx dx =…

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Q: Evaluate the integral.

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Q: Evaluate the integral. Assume that A is a real number and that A < 0. dx (x – 2)3

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Q: Evaluate the integral. Assume that B is a real number and that B > 3. 6x dx

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Q: Evaluate the integral by interpreting it in terms of areas. Draw a sketch. (geometrically) 5) S" Ix…

A: The solution is given below:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

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Q: Evaluate the integral. In(x) dx NOTE: Enter the exact answer.

A: Topic  = Integration

Q: 60. The study of sawtooth waves in electrical engineering leads to integrals of the form t sin(kot)…

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A: Explained below...

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Q: Evaluate the integral given below. Check your answer by differentiating- NOTE: Enter the exact…

A: To evaluate the integral given below. To check theanswer by differentiating.∫16t-6 et dt=?+C

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: SOLUTION-

Q: Evaluate the integral dx by using part 1 of the Fundemanl Theorem of Calculus, is equal to: -12

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