3sinnt 4. a + cosnt dx

Q: TT cos 3x. cos 4x dx

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Q: dx 1+cosx 2.

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Q: Evaluate

A: ∫3cos22x dx factor out the constant term outside integral symbol. ∫3cos22xdx =3∫1cos22xdx=3∫sec22xdx…

Q: Evaluate 1.) SS etan x dx cos?x

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Q: d'y 6. if y =, dx² 1-cos4x 1+cos4x du

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Q: Evaluate fea cos(2x) dx

A: We have to above integration

Q: S"(e*sin²x – e**cosx) dx B)

A: The formula of integration using by parts:       ∫fg' =fg - ∫f'g

Q: d²y dy and - dx B) Find if x = sin? 3z and y = tan 3z dx2

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Q: Find dy/dx, simplify if needed. y=sin^2(4x) + (1/2) cos 8x

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Q: (글) 2sinh -dx = Select one: O a. co cosh O b. (글) sech tanh d. csch

A: Properties used, a) Sinh (-x)= Sinh x b) Cosh (-x)= Cosh x c) ∫Sinh x dx= Cosh x +c

Q: 3.fe²x cos 3x dx

A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

Q: Lo arctan(x)dx

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Q: | w(w? + 1)3dw -1 dx х2 sin30cose d0

A: We will answer the first question since exact one wasn't specified, Please resubmit the question and…

Q: Classify and Solve dy cos x +y sinx = cosx dx

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Q: S fr² cos(2x) dx mukaans

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Q: Use the method of substitution to evaluate | 2x cos x? dx.

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Q: Evaluate fe.cos 2x dx

A: ∫e3x cos2x dx

Q: Q: Evaluate: 2х -1 cos dx (1+x²

A: Solved below

Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1…

Q: ysin2xdx-3y°cos?x dy -0

A: The given ODE is: y3sin(2x) dx - 3y2cos2(x) dy=0 This can be evaluated as follows:

Q: Find integral.

A: Consider the indefinite integral ∫-6x cos 5x dx Use the integration by parts to solve the indefinite…

Q: y = 2e cosx

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Q: 1. Evaluate x + x? (y) dy dx. COS

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Q: B) Find and if x sin 3z and y = tan 3z dx

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Q: dx A. 1+cosx

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Q: d?y 1ay +x² cosx +x² cos.x x( dx x> 0. dx?

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Q: y = (cos(3x))*

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Q: ydy=y^2 (xy^2 cos2x - tan2x)dx

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Q: dy If y = tan-'(cos x), then- dx II

A: Given : y = tan-1cosx

Q: dy If = cos 2x, then what is y? dx

A: We will solve the problem

Q: 2 cos x – 1 dx = ? X

A: In this question we used the expansion of function and evaluate the integral

Q: So cos(Anx) dx on lo0) (0,00)

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Q: 2 x If y = x¯e" sinx,Find d

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Q: Evaluate: ∫π cosx dx 0

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Q: 3. Sy sin 2x dxdy

A: we have to find integration

Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: - 24) fx cos (x*) dx 26) dx

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Q: 2sinx (x)cos (x)dx = (a) (b)를 (9); (d) (e) Nor a

A: Since you have asked multiple questions in single request.so we will be answering only first…

Q: Find dy/dx and simplify whenever possible. y = cosh2 6x +1/2cosh12x

A: Given: y=cosh26x+12cosh12x Differentiate the function with respect to x.…

Q: S tan |2x dx Evaluate

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Q: 4) fe* sin(nx) dx je 一元

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Q: 2) x dy = (y + x cos? (2))dx

A: Reduce it homogeneous differential equations and solve it.

Q: ∫(π/2) cosx dx 0

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Q: S' SE x² cos(xy)dxdy

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Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: dx 5+4 cos x

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Q: T/2 ex dx cos5 (e*)

A: Given: ∫0π2excos5exdx

Q: 6sin³ (2x) cos(2x) dx =

A: the given indefinite integral is: ∫6sin52xcos2xdx we have to find the value of the given indefinite…