order of integ ration and then evaluate. the Reverse sin (xy) dxdy

Q: Integrals Evaluate each integral.

A:

Q: COSO 十1 ex

A: Known fact: ddx∫pxqxft dt =fqx q'x-fpx p'x.

Q: Evaluate. 1. Integrate 2 cot x-3 sin^2 / sin x (dx

A: Given I=∫2cotx-3sin2xsinx

Q: Integrate and use walli's formula. let x=sintheta

A: Given integral, ∫011-x252dx

Q: sin' xcos' xdx х со

A: First of all, use the identity of trigonometry that is cos2x=1-sin2x in the given integral and…

Q: Evaluate sin(x+y)-cos(x+y)=1

A: Given: sinx+y-cosx+y=1 Dividing both sides by 2, we get  12sinx+y-12cosx+y=12

Q: Evaluate the integral. π/2 9 sin2(x) cos2(x) dx   0

A: Consider the definite integral: ∫0π29sin2xcos2xdx…

Q: x + y x - y cosh Show that sinh x + sinh y = 2 sinh

A:

Q: g(x) = 4ecoN " sin x, (0, ] COS

A: Given data:   The given function is: g(x)=4ecosxsinx The given interval is: [a,b]=[0,π].   The…

Q: Estimate the error if P2(x) =1- is used to estimate the value of cos x at x = 0.2. |Error| <…

A: Given; P2(x)=1-x2/2.

Q: s Sinx Cosy 1-Sin" x elx

A: To evaluate the given integral.∫sin x cos x 1-sin4 x dx

Q: 5. gl1) = Cot3x ら。 -- HQ) = I+ Sin x 1- Sin X

A:

Q: sec(2x)cot(2x)dr sin(x)cos(x)

A:

Q: 10 Use appropriate formulas from geometry to evaluate the integral (-2)dx. Write the exact answer.…

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Q: sin'z 1-cosz COS Z Find the Integral

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Q: 33. Find the regions where sinx Sx. (

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Q: Using an appropriate substitution, cos x-sin x the integral 3. dx equals: 0 cosx+sin x O none of…

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Q: eiz-e-iz 1. Show that Sin z 2i

A:

Q: 75. Evaluate | (sin-x)? dx. Hint: Use Integration by Parts first and then substitution.

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Q: sin(x) Evaluate dx. cos (x) – cos(x) – 2 |

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Q: i) Simplify sin(2sin-1x). ii) Show that sin 30 = 3 sin 0 – 4sin30. iii) By using the substitution 0…

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Q: Evaluate the integral.

A: We have to evaluate ∫3sinθ cosθ dθ Let substitute t=sinθ ⇒dtdθ=cosθ⇒dt=cosθ dθ Substituting the…

Q: 3 sin x y = [cot-1(품

A: Explanation of the answer is as follows

Q: True or false sin* x 4 sin x cos x dx 4 True False Reset Selection

A: Use the method of substitution.

Q: Sy sin 3ydy

A:

Q: Q2 Find the value of x and then check. 4coshx + sinhx = 4 Q3 Prove that sinh 3x = sinh³x+ 3cosh²x…

A: We are entitled to solve only one question at a time. Please post another question separately. To…

Q: Antiderivative of sec(3x)tan(3x)

A:

Q: | sin-1 x dx 4) Evaluate the integral:

A:

Q: (b) for 3-3x³ dx

A:

Q: sin x – e-* = 0, [0,1] %3D

A: the given equation is sinx- e-x=0  The given interval is [0,1] the formula for the false position…

Q: 8. Evaluate 9. Evaluate 10. Evaluate cot²x dx (sin x + x) dx cosx J dx sin² x

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Q: ☺ Evaluate Sin? (2x) Cos³(2x) d

A:

Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1…

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Q: 24 dx Evaluate 1- cos (8x) 24 dx 1- cos (8x) %3D

A: We have to find the integral of given function.

Q: sin x 6. Evaluate dx. 3 cos x

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Q: sin (z+27) =

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Q: dx 1+ cos2 x csc2 x nt: Multiply the integrand with csc2x' V2 cot x and the identity 1 + cot2 x =…

A:

Q: a) = Cos(x + a); prov

A: we have ,  sin(x-α)=cos(x+α)we have to prove that, tanx=1

Q: 2.4 Evaluate the following integral : E sine Cos op -sin? 2

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Q: 8 csc² 4x cos(cot 4x). dx sin (cot 4x) EVALUATE.

A:

Q: (ii)V 1 – sinx (in) 1+ cosx 1 + sinx sinx

A: i)Given, 1-sinx1+sinx Take conjugate of denominator term and multiply it with both numerator and…

Q: 1 dx 1+sin x+cosx Evaluate:

A: Given integral, ∫11+sinx+cosxdx

Q: Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x +…

A: Here we have to use the given identities to prove.

Q: coS X Find the integral of cot x using the substitution cot x = sin x

A: Given : To determine∫cotxdx using substitution

Q: Verify the identity sinh(x + y) = sinh x cosh y + cosh x sinh y

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Q: 1 – 3 sin (x) 2 cos (x) dx. (Hint: start by rewriting the integrand function as 3 sin (x) 2 cos (x)…

A:

Q: evaluate using the appropriate method or combination of methods.

A:

Q: 8. Find 4x(x +1)dx by means of two methods: (a) Do the multiplication first, and then…

A: The given integral is ∫4x(x2+1)dx. We have to find the given integral by the given two methods and…

Q: Prove the identity.   sinh(x+y) = sinh x cosh y + cosh x sinh y

A: To show that sinhx+y=sinhx coshy+coshx sinhy

Q: Differentiate. h(θ) = θ2 sin(θ)

A: Given function, hθ=θ2 sin(θ)