Find the antiderivative of |5sin x In5 cos x dx · O 5cos x + C O 5sin x + C O 5sin x In 5 + C O 5sin x + C In 5

Q: Evaluate the following integral e cos9x dx Select one: O( e* /82 ) ( sin9x + cos9x) +C O( e* /81 ) (…

A: Given: I=∫ex cos9x dx

Q: 5y' + xy = x² + 5

A:

Q: 5) el 24 4x² +44 cos (3x) + cosh (2x).

A: To solve : The differential equation d2ydx2 + 4y = cos2(3x) + cosh(2x)

Q: Evaluate fcosh³ xdx

A: ∫ cosh3xdx

Q: Evaluate fff. 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

A:

Q: 3) Prove that x 20-1 1+x2 dx C ال 플 CSC (Jia)

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Q: gral. cos 7x cos 4x dx ㅇ응 cos 3x + 숲 cos 11x + C ㅇ sin 3x + sin 11x+C 1 sin 3x - sin 11x +C

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Q: Show that S COS TX 2x - 1 dx KIN ㅠ 2

A: We transform the integral into another well known integral and then evaluate it.

Q: 6. Prove that ſex*dx+rydy = Sc r*dx+xydy+Sc, r*dx+xydy+Sc, x*dx+ rydy.

A: Prove that: Where c is the curve of the integral. The curve c is divided into piecewise region.…

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

A:

Q: 5] What is the particular solution ( yp) of the ODE ( dx +y 4e*)? a) Ae* b) Ax³e-x c) Ax2e* d) Axe-x…

A: Question 1 is soly.It is against the policy of bartalby to solve more than 1 question. Here is…

Q: Evaluate the integral: f sin 7x cos 2x dx. A) sin 5x + sin 9x + c. 2 B) cos 5x +co cos 9x + c. 10 C)…

A:

Q: 8z Find where z = 4 sin(xy), z = te58, and y= 105-1088 dt O O O O dz = 4(10t5-10s8) cos(te5s…

A: We have to find  using given data.Concept required:If  then while finding we will consider  as a…

Q: =} = (² S +4)² = cos t} = se

A:

Q: Compute / sin x •cos1º x dx.

A:

Q: 23. fx² sin 2x dx is a. b. x² cos 2x -x sin 2x-cos 2x + C x² cos 2x -x sin 2x + cos2x + C -x² cos 2x…

A: Given problem:-  ∫x2 sin(2x) dx

Q: Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b…

A: We need to show that, If Y=aX+b then Corr(X,Y)= +1 or -1

Q: (5е? + 9* — 8 sin x)dx - 8 sin æ) de O 5e* + x° – 8 cosx + c x° - 8 cos x + c О Бе + x —— 8 sin x +…

A: Solving the problem by doing the integration.

Q: дz дz Let z = sinh(7x + 8y). Find and ax ду дz ax дz ду || 7 cos(7x + 8y) 8 cos(7x + 8y) х х

A:

Q: Sæ³ cos(x*) dæ =

A: We solve it by u part method , ∫x3cosx4dx Let u = x4 Differentiate both side , we get   du = 4x3dx…

Q: 5.) Scosx (69425 Jax Са (9 + 25 sin(x) dx

A:

Q: 57. Use the substitution u = x/3 to prove dx 1942=tan 1+0 www C 9+x² 3 3

A:

Q: Evaluate | sin(In t) dt. t sin(In t) – t cos (In t) -t sin(In t) – t cos (In t) . . 2 2 O Option 1…

A: Substitute u=ln(t) ⟶ du/dt=1/t dt = tdu t = eu ∫ eusinudu we use integration by parts ∫fg′=fg−∫f′g f…

Q: (3e² + 5æª + 6 cos a + 2)dx : 3e? + x + 6 cos a + 2x + c 3e + a + 6 sin a + 2x + c et - x5 + cos z +…

A: Given problem:- ∫ (3ex+5x4+6cos(x) +2) dx

Q: 8 10 points Given the ODE problem as Viv+2y" +y=2sinx what are the correct type of particular…

A:

Q: If 1, = |x" sin8x dx , Then 64 I,+n(n-1) I,-2 Select one: O- 8x" cos8x +n x" 7 sin8x O + 8x" cos8x…

A: Given :  In=∫xnsin8xdx                1 Using Integration by parts…

Q: | ( + a + a) sin(8r") + 9z²)dr. Let a be a constant. Evaluate Türkçe: a sabit bir sayı olsun. (2 +2…

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Q: Use the following three identities to evaluate S sin sx cos tx = sin sx sin tx = cos sx cos tx = ·S=…

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Q: | (csc?x + 2 e2" dx = + 7* – 8) - O - cot x + 2e2a + - 8x + C - O tan x + e2a + 7° – 8x + C O - cot…

A: Here, we need to find the value of the integration ∫(csc2x+2e2x+7x-8)dx

Q: 5) f(x.y)= *+y

A: We are solving the first question and for the next question post the question again andalso mention…

Q: Evaluate the indefinite integral cosx sinx dx 1. sin*x + C 4 는Costx + c sin'x + C cos x + C m

A: