the comple integral evaluate along the Contour C:12-213

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given :           ∫01(2t - 1)2 dt   To evaluate the integral.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dz dz dy : -108 = -162

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Q: Determine the indefinite integral. Check your work by differentiation. O st++c +C 14 O 128 -+c

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Q: Approximate the integral. (Use decimal notation. Give your answer to one decimal place.) 24 24 R(t)…

A: This is a question of Reimann Integration.

Q: Evaluate the integrals using fundamental theorem. Write answer as exact value not approximation. a)…

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Q: Approximate the integral. (Use decimal notation. Give your answer to one decimal place.) 24 R(t) dt…

A: Given figure , each small rectangle is .5 inch hieght and 1 hour width.

Q: pls help me out thanks integral

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Q: х — 4 dx J. ? – 5x + 6

A: First  use partial fraction then use logarithms formula to evaluate

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Definite integral is to be calculated in the given question.

Q: Evaluate the iterated integral: L za sin(zy)dzdyda : (Express your answer in exact form.)

A: Proceed as shown below

Q: Evaluate the integral f de using trigonometric substitution. V36-x² Note: Use C for an arbitrary…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result.

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Q: Evaluate the definite integral using the Fundamental Theorem of Calculus. (x + Vx) dx

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. T/4 (24 csc(20) - 24…

A: We know,       ∫ csc (x)dx = - ln|csc x + cot x| + C    ∫cot (x ) dx  = ln|sin x| + C     ,  where…

Q: Evaluate the definite integrals using properties of the definite integral and the fact that •3 f(x)…

A: a).

Q: Sanlcosk) dx which of the following is the velve of the integral in the meaning of Riemann?

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Q: Find the indefinite integral. Use a computer algebra system to confirm your result ∫(tan4 t − sec4…

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

A: Use basic identities of integration.

Q: Find the indefinite integral. Vx+4

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Q: y³dy Let y = 2 sin 0 %3D 4- y2

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: I have stated the used formulas in the solution.

Q: Evaluate the integral. If it is divergent, your answer should be o or o. 1 -dx Evaluate %3D

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

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. S sec² x 81 -…

A: The given integral is: I=∫sec2x81-tan2xdx    ...1   As we know the common integral.…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (8t – 1)2 dt 0.

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Q: -3 (2sinx – e*)dx 0.

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Q: Evaluate the integral. Hint: Use Trig Identities. ( 9 sec 0 tan 0 de

A: ∫9secθ tanθ dθ=9∫1cosθ·sinθcosθ dθ      ∵secx=1cosx  &  tanx=sinxcosx=9∫sinθcos2θ dθ Now put,…

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Par (Use symbolic notation and…

A: We can find the answer as below.

Q: find the relation error use the trapezoid rule to approximate the definite integral. Use na4 • f…

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Q: sec7(t) tan(t) dt Evaluate the following integral using substitution rule or integration by…

A: We have to find the solutions

Q: Evaluate the integral (show clear work!): xsin x dx

A: Use formula of integration of parts method

Q: Define the function y = In x in terms of an integral. Then use y= In x to define the real number e.…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. |(142 – 13)*…

A: We have to integrate the given problem by appropriate substitution.

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. Use symbolic notation and…

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Q: Evaluate the definite integral using the Fundamental Theorem of Calculus. 64 (1 Vx)2 dx 16 2x

A: we need to evaluate ∫16641 - x22x   using fundamental theorem of calculus if F(x) be any…

Q: Evaluate the integral. show that it is divergent.  integral  sqrt  (x-1 ) dx

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Q: find the relation error use the trapezoid rule to approximate the definite integral. Use n=4 Inx dx

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Q: Sinx Estimate the integral f doe using Compasite trapezoidal rue with h=0•25

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Q: Evaluate the folowing indefinite integral. 1 dx 5 2x dx = 2x = xp (Use C as the arbitrary constant.)

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Q: Evaluate the following integral using the fundamental theorem of calculus. Sketch the graph of the…

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Q: Find improper integral: x ·e-²dx. Preview will appear here. Enter math expression here

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Q: 3 (2sinx - e*)dx 0.

A: Solution: The objective is to find the value of the given integral

Q: sin n(4-y)sin(3 – y)dy

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Q: Evaluate the indefinite integral. Assume the integrand has domain x > 0.117647058823529. 289x2 – 4…

A: Given integral is ∫289x2-4xdx.

Q: Evaluate the indefinite integral given below. Provide your answer below: f6e4 tan (2x) sec² (2x) dx…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (4t 1)2 dt

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Q: Evaluate the integral. show that it is divergent.  integral 1/ ( 2x + 3 ) 2 dx

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Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: To evaluate the definite integral: ∫2312-3t4dt Let substitute u=2-3t Differentiating both sides.…

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

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.