Find the integral. cos³xsin²x dx 1 1 0-sin³x + sin³x + c C 3 1 sin²x - sinx + sinx 5 1 3 1 5 sin²x + c C sin ³x + C sin ³x + C

Q: Rewrite – 2 sin(r) + 3 cos(x) as A sin(z + o) A = $ =

A:

Q: 47' sin z = x³ . cos z + sin z - 3z² Select one: True False

A: Given that d(x3 sinx)/dx  . Here we derivative of this question with respect to x. We know that…

Q: 3 sin x + 4 cos x +5**

A:

Q: 1 1 √√x+2 dx. 貼 Evaluate O A. 39 O B. 38.0894 O C. 15.6291 O D. 6.5798

A: Since you have asked multiple questions so we will solve first question for you.

Q: S(cost x- sin x)dx

A:

Q: Watch the video on the integral of sin(ax)cos(bx) and the video on the p two cosines with different…

A:

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +…

A:

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: Find cos (z+2) dx. O-sin (x + 2) +C O sin (x4 + 2) +C O sin (x* + 2) +C sin (2* +2) +C

A: Let's find.

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

A:

Q: | 12 csc² (62) cot(6) dæ = 12 csc (6x) cot(6x) dx : (Use Substitution Method) %3D 12 12 +C 12 sin?…

A:

Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

A:

Q: 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…

A:

Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

A:

Q: x* + 3 dx x² + 3x + 1 4. 00

A: Given: ∫-∞+∞x4+3x2+3x+1dx

Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

A:

Q: Integrate 0 1 S √1 1-4x2 dx using a trigonometric substitution. sin-¹ (2x)√1-42²+ C 0 1 -sin-¹ (2x)…

A: The given integral is sqrt(1-4x2).

Q: Ave homerks anly -Sinx de Je esCaK-Cotax tany 6) X-1 Sook cos X-4 da Cos X f(onx-Sinede

A: As per company's guidelines, I can answer only one question. To know rest please repost the question…

Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

A:

Q: = cos 4 + isin and B = cos + i sin. Prove that B is not in Q(a).

A: Given: α=cos 2π7+i sin 2π7; β=cos 2π5+i sin 2π5To prove: β is not in Qα.

Q: Yp = A1 cos V2t + A2 sin V 2t Which of the following is Yp'? sin v2t A1 V2 Cos /2t A2 V2 O V2A1 sin…

A: Please see the explanation below

Q: Compute | cos z dz. cos z +C 3 cos a + sin z +C 3 sin r + cos x +C 3 Cos x - sin I sin z + 5 sin x…

A:

Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

A:

Q: Compute cos æ dæ. cos x +C 3 cos a sin x +C sin r cos a + cos x +C sin a +C 3 sin r + sin I 3 sin a…

A: Given, ∫cos3x dx We can write it as by using the trigonometric identity as, cos2x=1-sin2x∫cos3x…

Q: Integrate the square root of sin (In x) dx * O x/2 [ sin (Inx) + cos (Inx)] + C x/2 [ sin (Inx) -…

A: Given

Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

A:

Q: Decompose the fraction

A: To decompose the fractionsin2xcosx

Q: cos(0) COS dx os(8) + sin(0)

A: I=∫0π2cosθcosθ+sinθ dθ       →1 Now, ⇒I=∫0π2cosπ2-θcosπ2-θ+sinπ2-θ dθ    ∵∫0afx dx=∫0afa-x…

Q: PROVE OR DISPROVE THE FOLLOWING 3 1²/2 8 d dx x + 8 sinxcosx + cos³xsinx) = cos x

A: We need to verify the given expression.