cos (A+B) = cos A cos B-sin A sin B %3D

Q: sin(e)de 4+cos (e) In(4+cos'(e)) +c -sinh -sinh cos (0) sinh (cos (0)) +c 2/4+cos (0)

A: Use the substitution method and integrate the given expression.

Q: Calculating derivatives Find the derivative of the followingfunctions.

A:

Q: Icos(lax)dx COs

A: I=∫coslnx dx

Q: () V3 е) Cos b) sin'(0) h) tan 13

A: (b) We have to find angle of sin-10. Let θ=sin-10 ⇒sinθ=0 We know that sinx has its value 0 at x=nπ,…

Q: Cos e Csc 0+1 by Csc e+1 csc e-1

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Q: 2cos(a)sin(a) da -sin²(a) + cos²(a)

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: 3 sin x dx 3. | COs cos? x

A: Our Aim is to solve the integral given below:-I=∫sin3 (x)cos2 (x)dx -(i)

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dx  this is the correct question sorry.

A: To find: the derivative of the below equation.

Q: Use integration by parts to prove the formula .

A:

Q: Evaluate the integrals

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: COS X 1. S 7+cos 2x

A:

Q: sin a =2 and cosec a = Cos a = and sec a = %3D tan a = and cot a = = %3D LIA た一〇

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Q: Solve the (r + sine – cose)dr + r(sine + cos®)de = 0. A r? + r (sine + cose) = c Br2 + 2r (sine –…

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Q: (cos 0 -sin 0) d0 7. J sin 0

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Q: evaluate using the suggested method.

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Q: sin e cos (cos a cosec 0) de (1-cos a). 2 ||

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Q: (cos x +i sin a)" = cos nx +i sin na -1)

A:

Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x -…

Q: sin – is equal to I- cose A I+ cose B sin I+ cose I+ cose D 1-cos

A: We know the half angle formula of trignometric functions

Q: sin 2x (a – b 2x)4 + K. VI Cos 2r

A:

Q: a/3 Find the value of cos(3x) dx.

A:

Q: establish each identity.

A: sinα-cosβ2+cosβ + sinαcosβ-sinα

Q: R/2 sin 0 cos (cos a cosec 0) de TC (1-cos a).

A:

Q: 2 cos Ca) sin Ca) da J z sin(a) cos"(a)

A: Hey, since there are multiple questions posted, we will answer one question. If you want any…

Q: 1- cosx dx A -2/2cos- +C B 2/2cos- +c -2/2 sin-+C 2 D 2/2 sin- +C

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Q: cos e+1 csc e 3. 3. sin 0 1- cose

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Q: 10. (sin x- 1) dx + S, (cos x + I) dx =? c.)-1 d.) - (1+ ) a.) -89 b.) -91

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Q: cos(In x) dx =? A 1/(sin 1) B sin 1 1/(cos 1) D sin(e)

A: Given integral can be evaluated as shown below

Q: cos A+1 cSc A %3D sin' A 3 1-cos A

A: Consider the given identity, cosA+1sin3A=cscA1-cosA Cross multiply the equation,…

Q: cos*x If S(cos3x B) dx = - + C, what is the B? 4 A. - sin x С. - COSX . 1 D. 1 В. CSC X sec x

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Q: Cos A +1+ sin A 2 sec A 1+ sin A %3D cos A

A: To Prove: cosA1+sinA+1+sinAcosA=2secA

Q: tan A - sec A = %3D sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: (sin x 1) dx + (cos x+ 1) dx = C.)-1 D.) - (1+) A.) -89 В.) -91 A B в) А

A: Given:       ∫-π40sinx-1dx+∫0-π4cosx+1dx Apply sum rule:         ∫fx±gxdx=∫fxdx+∫gxdx…

Q: sin“ x + cost a =1– 2 cos? x + 2 cos e

A: We can find the answer as given below

Q: Find each determinant.

A: a).

Q: L" cos³ (;w) sin* (;w) dw -2π Se" cos3 Gw) CoS

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Q: Гcos 4 (x) dx CoS

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Q: 1/2 TC sin 8 cos (cos a cosec 0) de (1-cos a). /2-a

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Q: sin 0 d0 cos? 0 +5 cos 0 +6

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Q: 1+ sin 0 b) coso coso 1- sin 0

A:

Q: cos (1/x) dx ∞ o COS 21. 12

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Q: SIAX-COSK sinx dメ Sinx tcosメ +COS

A:

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: cos 0 do 0. 0 4

A: Simply integrate and put the limit then simplify.

Q: I cos (x) sin(x) dx A. (sin²(x)) + C 2 B. (sin² (2x)) + C 2

A:

Q: Differentiate

A: Find the derivative for the given f(Ѳ)

Q: COS X dx sin? x – 3 sin x + 2

A: Consider the given indefinite integral

Q: cos x -dx = sin x O A. In 3 В. In e C. In 2 D. In 4 B.

A: