dx is equal to xlnx/ In?x - 4 A none of these sin-1 ´Inx + C -1 sec Inx + C 2 sin-1(플)+ Inx 2 2

Q: impson's One-Thirds (Use n = 10) 7. S¯½ (5x³ − 2x² + x + 3) dx -24 sin r

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: x/4 The definite integral sin24x cos2x dx is equivalent to x/2 1 -sin20 cos20 de A x12 2sin20 cos40…

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Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1…

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Q: 41 D(D² + 1)y = 3x? + 4 sin x – 2 cos'x

A: Explanation of the solution is given below....

Q: (d) Differentiate the following with respect to x: (ii) 2x2 sin-(e-2*)

A: As per guideline we have to solve one question Please repost other question again

Q: The appropriate change of variables for the dx is Vx²+2x+10 O x=10 sinØ O x+1=3 sinØ O x-1=2 tanØ O…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 5 dx Find dx, x> V25x? -9 5x In 25x2-9 + C 3. sin-13x+c 1+9x2 +3x|+c 1 V1+9x? + C 3x 3. + C V25x2 -9…

A: The solution is given below in the next step:

Q: dx Evaluate: x2+ 8x + 20 A In (x2+ 8x+20) B) None C sin -1 +C (D tan +C X+4 E tan +C F -sin 2 +C 2…

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Q: " , [sin(Inx?)]²dx Which of the following is equivalent to sin(Inx 14) dx sin2( Inx 14) dx B ©…

A: The given integral,       ∫sinlnx72dxx

Q: 3.S dx C. ez? D. ex А. х В.-х? cos x 4. S9 dx V1+sin x A. V1+sinx B. cosx C. sinx D. 1+ sinx

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Q: d. g(x) = 78* + x87 sin e cos 0 e. h(0) = sin 8+cos 8 tan x f. y= 26x3 x+2

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Q: x dx x² + √√x². The integral - sine de SSH 1 + cose sece tane de sece - 1 sec²0 do 1+tano cose do…

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Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

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Q: Q6// find the general solution (sin-ix+- 1 dx + sin-1xdy 0

A: Note the following result of integration. We will use it in the solution :

Q: Determine whether ƒ is even, odd, or neither.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: /= 0 sin√xcos√x X Зл A 256 Зл B 512 3 C 256 D) None 3 E 512 -dx is equal to

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Q: dx Evaluate / (x-2)²+81 O None o jtan-l(공) + C O įsin-|(-) + C o Jtan-l(뮤) + C x-2 81

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Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: Show | S a² sin®(e*) dæ| < 16n*. 8 Show | S, x2 sin°(eª) dx| < 3

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Q: dy 9. = sin? x cos“ x 1 9. y = 16 1 sin 4x + 64 sin 2x + C1 48 dx

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Q: 3. Evaluate the integral sin ede from 0 to pi/2. A. 2x/3 B. 3π/5 C. 3m/16 D. R/4

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Q: (a) S(7 – sin(x) + 9cos(x))dx - 1 (b) S (e* + 3* – - 2 V1-x

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Q: 16. (a) 6 dx (b) -10 (c) √² 2) |x - 2| dx (d) 17. In each part, evaluate the integral, given that…

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Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

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Q: 20. sin nx dx + f * +[ cos? nx dx , where n is any real number. A. 0 В. 1 С. т D. 2 T

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Q: d 6. dx sine 1 sin(x²) (B) (D) – sint=") (A) – x sin(x²) (C) x sin(x²)

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Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to

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Q: de 6) S 7) S(1 – sin? 3t) cos 3t dt 8) ſ tan (5x) sec?(5x) dx cos? e

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Q: 97. State whether the approximation MN or TN is larger or smaller than the integral. sin x dx 2л sin…

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Q: Q: Solve the following integral Sx x sin-1 x dx

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Q: dx 3. S. 5sin x+12 cos x

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Q: sin 2ax Given ſ cos? (ax)dx : Calculate the following definite integral f cos2 (0.5x)dx. 2 4а

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Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

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Q: 2 a) ; 1 :+ 5e* dx =? sin? x 1- x2 b) (x² – x + 2)* (2x – 1) dx =? sin 2x c) 5 + sin² x dx =?

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3 sin³x sec?x dx = Select one: а. b. 1 С. d. 1 1/3 1/4

A: Topic:- definite integration

Q: sin°(x) dx = 4 O 8 O none O 2 N|3 +|m

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Q: sinh(1 + Inx) = Select one: e?x² +1 2xe O None x²+1 O 1+ 2x O Zero e Inx 2 e?x? -1 2xe

A: To solve  sinh(1+lnx)

Q: Sz cos6 x sin? x dx 0.0053 0.035 0.0033

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Q: Using substitution with u = sin(2x), the definite integral sin (2x) cos(2x) dx is equivalent to ...…

A: Use substitution

Q: Find the solution of sin 3ædx + 2ycos³3xdy = 0 O y? = sec 3xtan 3x + C O y? = -sec 3ætan 3x + C O y?…

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Q: 2T d) f(x)=5 sin (x+1)+2 e) f(x) = -2 cos 2(x+ 1) + 1_ 17. Find the rule of the sinusoi

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Q: 3. Sx Vx? – 4dx 4. S(2 – sin 4r) dr 5. S cos x sin? x dx

A: LetI=∫xx2-43dxPut x2-4=udifferentiate 2xdx=duxdx=du2I=∫xx2-43dx.I=∫u32duTake the constant out:…

Q: (b) Evaluate the given trigonometric integral sin r dx (x² + 1)(x² + 9)

A: The given integral is ∫-∞∞sinx(x2+1)(x2+9)dx. It is of the form ∫-∞∞f(x)g(x)sin(nx)dx. To solve this…

Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | +…

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Q: d²y dy + 2y sin? x = e-cos * sin² x dx Solve : + (3 sin x – cot x) dx?

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Q: (10,00 Puanlar) /6 7 - What is the value of the integral sin(6x) arctan(sin 3x)dx? c) “ d) 6(1 - 2)…

A: This question is related to integration.

Q: 2 tan-(x)dx = %3D O V3 - In (8) TC -In (4) V3 О 2п - In (4) v in - In (4) - 2V3 O None -In (2) V3

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Q: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)

A: We have to evaluate ∫x21-4x2 dx.