Evaluate f sin5 cosº x dx. A 1 1 14 B D sin¹2x 1 3 sin ¹4x + C 1 sin¹²x + sin ¹4x + C 14 E None of the Above C D 1 3 1 sin¹2x sin¹2x + 1 14 1 14 sin ¹4x + C sin ¹4x + C

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Q: Solve the following DE: (r+sin-cose) dr+r(sin+cose)de=0 O r²+r(sin+cos) = C Or+2r²(sin-cose) = C O…

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Q: Use the method of substitution to evaluate 2x sin x? + c 2 sin x? + c sin x? + c 2 – sin x² + c

A: As we know that the common integration of : ∫cosudu=sinu ∫a·fxdx=a·∫fxdx

Q: | sin 5x sin xdx

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Q: x sin 7xdx is a. xcos 7x sin 7x 7. 49 b. xcos 7x sin 7x +. 7. 49 xcos 7x sin 7x +C 7 C. d. xcos 7x…

A: Integral problem

Q: "(등 -2) + ain (품 + 22) The simplified form of cos 22x) + sin O V3 cos 22x + sin 22x O v2 cos 22x + 2…

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Q: Evaluate: Jcos 2xdx cos2x, cos³2x + C 6 A + 2 cos 2x + C 6 cos2x B sin 2x + C 6 sin2x 2 sin2x sin32x…

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Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: Let A = ° -2 [23] eAt = e2t T eAt = e³t eAt = e³t e³¹ = cos(3t) [- sin(3t) cos(2t) sin(2t) [ e37 .…

A: A square matrix A is given. The objective is to find the value of eAt. If A=a-bba, then eAt=eatcos…

Q: 26. Evaluate sx sec²(5x²) dx a. 2 sec (5x) tan(5x2) + C b. 20 1 tan (5x) + C c. 10 tan (5x?) + C d.…

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Q: What is (cos x + x) dx? O-½ sin²x + x²/2 + C ○ -sin x + x²/2 + C O sin x + x²/2 + C O. ½ sin²x +…

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Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: In the process of calculating that: cos³ (112) de a substitution is made in the variable u, then it…

A: Given query is to find the integral after substitution.

Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

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Q: 25-11 2-4s + 8

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Q: Evaluate e cosh 2t -3t s13 d) 4(s? - 6s-5) 3. s43 a) 4(s-6s + 5) b) 4(s? + 6s - 5) c) 4(s + 6s +5)

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Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: Evaluate D 6 |3x|√9x²-4 3 2 sin-¹3-sin-¹ 3 tan¯¹3-tan -1 1²/24 sec ¹3-sec dx sec-1³/12

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Q: QUESTION 2 Je" cos(5x)dx = 7x O A. (7 cos 5x + 5 sin 5x) + C 24 O B. (7 cos 5x – 5 sin 5x) + C 74 e7…

A: Please see the explanation below

Q: If A A = = 3e³t sin(8t) 3e³t cos(8t) 3e²t cos(8t) -3e²¹ sin(8t) then

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Q: 6. Rewrite over a common denominator: 1 /1 - cos v + 1/ 1 + cos v

A: We have given 11-cosv+11+cosv Then, 11-cosv+11+cosv=1+cosv+1-cosv1-cosv1+cosv=21-cos2v=2sin2v

Q: XV3X-4 V3x-4 +C tan 3x-4 +C sin' 2 tan 3x-4 +C sin 3x-4+ C None V3x=4 tan +C 2

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Q: Evaluate V1-289z2 sin (16x) + C 17 1 sin 1 (17x) +C 17 sin (16x) + C 17 1. sin (17x) + C 17

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Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

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Q: sin –9xdx

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Q: O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

A: Integral

Q: 8 0 sin axsin 2 x² bx -dx

A: