The integral / sin²xcos?xdx is equal to M – cosN) dx' what is M and N? (1- M= N=

Q: Use the Table of Integrals to evaluate the integral.

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Q: dx sin 3x cos 4x

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Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

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Q: Evaluate the integral using substitution. 1) cos (8x²) dx, X COS

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

Q: Evaluate the integral.

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Q: Find the indicated Trapezoid Rule approximation to the following integral. .3 5 sin 3* dx using n =…

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Q: By using trapezoidal rule, n=2, The integral = π/2 sin (x) dx 0.9444 O 0.9481 O 0.94809 O 0.9482 O…

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Q: Evaluate the integral using the indicated trigonometric subs x² - 81 dx, x = 9 sec(0)

A: To evaluate: ∫x2-81xdx Solution: Let substitute x=9secθ Differentiating both sides,…

Q: Evaluate the integrals ∫cos3 x sin x dx

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Q: Which integral should be used to find L {sin 3t}? a. sin 3t dt d. o -st sin 3t dt e b. Se-st sin 3t…

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Q: What is the area under one crest of the sine curve, from x = O to x = n? y=sin x dx 1/2

A: Given problem:-

Q: Evaluate the integrals cos x dx 5. / sin x

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: The resulting integral of sin-cos-sino de has the form -F(@) +C What should be the value of e to…

A: We know that integration of sinx is - cosx and we know that trigonometry relation is  Sin2x =  2sinx…

Q: 4) Show that the circumference of the unit circle is equal to 1 dx (an improper integral) 2 1 – x²…

A: We need to verify the circumference of circle.

Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

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Q: Find a bound for the error in the approximation M20 to the given integral (but do not calculate…

A: The given integral is ∫0π35cos(x)dx. To find the bound in error use the midpoint  rule which is…

Q: 5. Evaluate the integral by using trigonometric substitution. x2 dx Vx² – 25

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Q: Use the Table of Integrals to evaluate the integral.  ∫ sin2x cos x ln(sin x) dx

A: We have to evaluate ∫sin2x cosxlnsinxdx Let substitute  t=sinx ⇒dtdx=cosxdt=cosx dx Substituting…

Q: Which integral represents the length of the curve y = cos x between 0 and 7? V1+ cos? x dx, TV1+…

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Q: The resulting integral of sin -cos-sino de has the form -F(0)+C- What should be the value of e to…

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Q: What is the integral of sin^5 x dx if the lower limit is O and the upper limit is T/2?

A: We have to find out

Q: Evaluate the integral. integral 0  to pie /2     sin 3x  cos 2x dx

A: Consider,

Q: 4. Use the comparison property to calculate if the following integral converge: sin? a dx. V1+x3

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Q: Show that the arc length of y = 2√x over [0, a] is equal to√a(a + 1) + ln(√a +√a + 1). Hint: Apply…

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Q: Evaluate the integrals below: 2 cos2x а) sin2x. [In(sin2x)]? + sin2x .dx, b) хе^.dy

A: We have to evaluate the following integrals,

Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

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Q: Find the integral. 5sinh x -dx 1+cosh x

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Q: 91. State whether the approximation MN or Ty is larger or smaller than the integral. (a) | sin x dx…

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br where A, B are…

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Q: Evaluate the integral.  integral sqrt   1/ cos x + 1   dx

A: Given:∫1cosx+1 dx

Q: Evaluate the integrals -dp- 5. / sin? cos x

A: Since you have asked multiple questions, we will solve the first question for you .…

Q: In the integral, Jcos²tsin2tat , the correct u using general power formula is; sin't sint None of…

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Q: By using trapezoidal rule, n=2, The integral J = 0.9444 0.9480 0.9481 O 0.9482 O 0.94809 π/2 0 sin…

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Q: Find the integral using an appropriate trigonometric substitution V25x² – 1 dx

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Q: Evaluate the integral. 3 (H) arctan dx /1

A: The given integral is

Q: For the given integral dx sin-cot- 2 2 what is u?

A: Take u=x/2 then integrate it

Q: sin° (2æ) cos(2æ)dæ

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Q: To evaluate the integral Vx2 + 4x + 5 dx using a trigonometric substitution, use the substitution…

A: As we know that 1+tan2x=sec2x

Q: Evaluate the given integrals. Sx-2 (cot) (log,sin-) dx 7.

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Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: The integral of * x? dx is (x2+4)(x2+9) In(x? + 4) + In(x? + 9) + C Option 1 Option 2 -tan () + tan…

A: Given:     ∫x2dxx2+4x2+9 Perform partial fraction decomposition:     =∫95x2+9-45x2+4dx…

Q: Use a double integral to find the area of one loop of the rose r = 2 cos(30).

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Q: why does the integral of cot(x) dx = ln((abs(sin(x)))? and is there a way to memorize it?

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Q: For the given integral dx sin2x/1+ cotx what is u? note: no space between symbols in your answer

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Q: Which of the following integrals are improper? Why?  integral 0 to pie / 4 tan x dx

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: or the integral cosx sin'x dx ? Let u = There is more than one credit will be given.

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Q: Evaluate the integrals ∫2 sinh (sin θ) cos θ dθ

A: Our Aim is to evaluate the integral given below:-I=∫2 sinh (sin θ) (cos θ) dθ -(i)

Q: Use Simpson's rule to approximate the following integrals: (using n= 8 subintervals) a. f, cos x³ dx…

A: We have the formula for Simpson's rule…