Integrate: cos Gx) – sinh(2x)]g

Q: ((cos 2x – sin? 3x)dx

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Q: dx Perform the Integrations 1+ sin x+ cos x

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Q: sin x dx cos5x b.

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Q: evaluate using Integration by Parts.

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Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

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Q: dx 3 cos x+2 sin x-5

A: This integral can be solved by using the trigonometric formulas of sinx and cosx in terms of…

Q: e sint + sin(4t) cos(3t) kdt determine the result of integral

A: We have the given integral is ∫0∞e-te-2tsintt+sin(4t)cos(3t)dt Let…

Q: sinh x dx 1+ cosh x

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Q: Using an appropriate substitution, the integral cosxe+2 sinx) dx is equal to:

A: Solve intregal

Q: 23 dx V25 – x2

A: We integrate the function using trigonometry substitution.

Q: Evaluate the integral ∫sin5 x/3 cos x/3 dx

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Q: Evaluate the integral.  integral sin 9  x cos 3x dx

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Q: 1. S sin x cos 3x dx.

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Q: Integrate | 2 sin O de а. 3(cose)d

A: ∫2sinθ3(cosθ)2dθ

Q: Use all your background to find the integral of the hyperbolic function: 00 sinh ax cosh bx

A: Given: The given integral ∫0∞xnsinhaxcoshbxdx

Q: 4. sin 4x cos 3x sin 2x tan 3z dx

A: Given, I=∫sin4xcos3xsin2xtan3zdx I=tan3z∫sin4xcos3xsin2xdx now solve this integration we know,…

Q: Evaluate the indefinite integral sin t cos tdt 3

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Q: Determine the constants a and b such that                                                       sin…

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Q: evaluate the Integral X sin (x) coscx) dx COS

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Q: dx Sin cosx 2.

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Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: sinh(In In a)da is equal to xlnx

A: To find:∫sinhlnlnxxlnx dx

Q: Verify the integration formulas ∫sech x dx = tan-1 (sinh x) + C

A: To evaluate ∫sech x dx

Q: Find cosh² (t) sinh5 (t) dt.

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Q: Calculate | e* cos(T2) da using integration by parts as many times as necessary.

A: Find the integration of excosπx using integration by parts

Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: Evaluate the integral. ∫ Cos2 x Sin2x dx

A: Given :           ∫cos2x sin2x dx

Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

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Q: Find the indefinite integral. sin3 70 V cos 7e de

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Q: Integrate e* cos(x) dr COS

A: To evaluate: ∫02πexcosxdx To solve this we will use integration by parts

Q: Integrate with respect to x, the square root of (1-cos5x)/2

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Q: Jrin m In(cos m) dm

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Q: Use integration by parts to find, x cos2x dx

A: Answer :

Q: Jz sin 0 do 2

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Q: Integrate integral sin (t) cos (2t) dt

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Q: Q3 : prove that : cosh?x + sinh²x =coch2x

A: L.H.S.:=cos h2x +sin h2x=(cos hx)2 +(sin hx)2  =ex+e-x22+ex-e-x22=14(ex+e-x)2+(ex-e-x)2

Q: Use integration by parts to evaluate 16r cos 4r dr.

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Q: Evaluate the integral. sinh 5a -dx +C. 5x

A: Evaluate the integral the given function Sinh is hyperbole function.

Q: Evaluate the integral.

A: ∫cosh2(x)sinh(x)dx

Q: Find the trigonometric integral ∫sin2 x cos3 x dx

A: We have to find the trigonometric integral: ∫sin2 x cos3 x dx Rewriting the integral, ∫sin2 x cos3 x…

Q: f sin-¹(x) dx

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Q: Evaluate the integral.  integral sin 3  x cos 2 x dx

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Q: Evaluate sin integral (4x) cos(5x) dx

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Q: Evaluate / e*cos(x)dx using integration by parts-

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Q: Use integration by parts to evaluate /(3x+2) cos (2x)dr.

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Q: Let f(x,y) = tan 1(sinh (y) + 2020 cos - 'y) + 4xy Calculate

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Q: O dx 2Smx-Cosx+5

A: We have to find the integral.

Q: = Evaluate Se cos 3x dx using integration by parts method.

A: Given,          ∫e-3xcos3xdx