Express the expression Hence find lim n 1 n→∞ N k=1 1 n COS COS 4kπ 15n 4kπ 15n = as the Riemann sum for an integral of the form 4π/15 1/15 f(t)dt for a suitable function f /0

Q: Evaluate the indefinite integral; f Vtan 3x sec2 3x dx OA)-(2(tan [3x)^(3/2) ] /9 + C OB) I DON'T…

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Q: (5tan2 elan 20 sec2 Bdß 1.

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Q: Using Rationalizing Substitution a=4, b = 9 a = 8,b=27 a=64, b= 729 a=2, b=3 729 S 64 dx √x - √√x =…

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Q: 30.: Compute the indefinite integral: sin20t dt sin10t sin10t a. b. cos10t +C C. sin10t +C 10 d.…

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Q: Determine the integral J I = 6 x√√x²+4 dx. 1. ln ° ¹. 1 = − 3 lm | √²² + 4 + 2 | + 0 x 1 2. I = In ®…

A: To evaluate the given integral

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Q: -4 Evaluate the indefinite integral, using algebra to rewrite the integrand first. dx 2 – 8x +C 3. -…

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Q: Simplify and enter your final answer. * T/6 (sec t tan t)i + (tan t)j + (2 sin t cos t)k dt = Your…

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Q: Find the indefinite integral 3 cos 0(5 tan 0 + 9 sec 0) de. 0(5 tan 0+9 sec 0) d0 = (5t 3 cos 3 cos

A: we know that  tanx=sinxcosxsecx=1cosx

Q: 7)Use Taylor theorem to estimate cos(0.23) with Jerror|< 10-2

A: Here we are to estimate cosx at x=0.23=23100 with error≤10-2,using Taylor theorem i.e, using Taylor…

Q: Give bounds for constants c so that the integral equation sin(t)dt x * a makes sense for any a E R.…

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Q: Write as an integral on the interval 0, the expression represented by Зл lim,0o E (2x – cos x;) i=1…

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Q: 6. Find which of the following integrals diverges dx sin²x B. fo 52 C.₁ x(√x+1) dx x² +5² sin AS, S…

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Q: Evaluate the triple integral 1 V1-y V4-z? y? COS cos (z? + y? + z?) dzdzdy. V12 + y? + z2

A: Given triple integral is ∫-11∫01-yz∫04-x2-y2cosx2+y2+z2x2+y2+z2dzdxdy To evaluate the integral.

Q: 9. Find the indefinite integral. 1 36+ (x – 4)2 X -4 arctan 36 +C a. 36 オ-4 b. 36 arctan 36 1 x-4 +C…

A: (9) Given: The integral is  ∫136+(x-4)2dx

Q: Find the indefinite integral. [ cos 3xar sin33- sin 3r +C 6. O sna(3- sn'ax) sin3 3-sn 3 +C sn3x…

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Q: please do part C only

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Q: The area of the region inside r= 2 + sin and outside r= 2-2 cos 0 is given by

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Q: y"' + y = 2 sin 4x + 4e¬5x %3D

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Q: Question 1 Evaluate the following integrals using residue theorem: Lx (2² + 9) (2² + (b) 2³ sin uz…

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Q: Evaluate thne integrat -6 to -10. A. 21/2 B. 1/2 C. In 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: 8 (a) To evaluate the integral J cos xdx by using the reduction formula of Cosine function.

A: We have to use cosine reduction formula.

Q: Du(x) = x ( 4 + Sin (2x)) - 0 xultidt

A: Fredholm equation is defined as the equation in the integration over the fixed general region. The…

Q: V2x + VI – cos² x sin x dx converges or diverges Determine whether the improper integral Show all…

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Q: Find all values of x in the interval 0<_x<_2pi for which -1/2<sinx<1/2

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Q: Q2\ Find the limits of the following integral ym Inx 2 4 cos 20

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Q: 2 7 4 is S cos' xsin xdx 비

A: See the details solution in below