Q.-Reduce the homogene ous Fredholm integral equatim afkc x, t) ult) dt where sin hx.sinh(t-1) sinh1 sinht.sinh (x-) sin h1 to a boundry valua problem.

Q: @ sinhz= loy (z+[2+1) %3D

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Q: 7. Evaluate the following integrals: a. S cosh x sinh x dx b. dx S- 2 + 2x + 3 C.

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Q: 16. Determine the following integrals: (a)Scos 8.xdx. S sin" x.cos.xdx (b)? sec² xdx (c) (d)Se*dx

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Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

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Q: Use u-substitution to compute the integral for problem F. Thank you

A: The given integral is,

Q: 2. Find the following Integrals a) ſe (lnx)³/2dx 1 X 1 -1 tan-¹(x) dx 1+x² c) ſ sin³(x/2)dx b) √ ² ₁…

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Q: 15. f cos(1 + 5t) dr 17. sec²0 tan¹0 de • j d sin √x √√x dx 18. sin x sin(cos x) dx 16.

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Q: (LT3.a) Use the Fundamental Theorem of Calculus to find the exact value of the definite integral √2…

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Q: P4. Find the following integral using integration by parts: sin ¹(4x) dx cos(In x) dx (3x + 5)…

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Q: 11. Evaluate the integral sin(y*) dydx.

A: To solve this Intergration we have to use the concept of change of order of integration.

Q: 7-30 Evaluate the indefinite integral. 7. fx√/1-x² dx 9. f(1-2x) dx 11. (sin(20/3) de 13. sec 3r tan…

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Q: 17. f (2 + tan²0) de 19. 3 csc²t dt uni 18. sect (sec 1 + tant) dt sin 2x sin x 20. S dx

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Q: cos x / sin? x) dx.

A: We have to solve the following given integration

Q: 4. Evaluate the iterated integral T, cos(³) dydx. a. (cos 1- 1) b. 1 e. (sin 1- 1) f. 1 (1- cos 1)…

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Q: P2. Find the following Integrals (Inx) ³/2dx a) e x tan-¹(x) dx 1+x² sin³ (x/2) dx b) c) d) fsin³…

A: According to bartleby guidelines we do only first three subparts and rest part can be reposted .

Q: Q.-Redvce the homogene ous Fredholm integral equatim 1 askene) ult) dt where Sin hx.sinhlt-1) sinh1…

A: To Reduce the homogenous fredholm equation into a boundary equation  Consider the given integral…

Q: 2. Show that the LT of sin(wt) is L sin(wt)] (s) where w is a positive constant.

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Q: 1 Evaluate the definite integrals the method of substitution using +3 a) S xe 4x²+³dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: • Evaluat the integral:- 푼 S S. seč (cosx) dx dy Sin y

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Q: 3. Explain how you would use Simpson's rule to find a numerical approximation of the integral 1 dx.

A: Simpson's rule is a method for numerical integration that approximates the value of a definite…

Q: Find the product of the integral 1- L sin(x)ecos(x)-2y dxdy

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Q: Suppose F(x, y) = 8 sin LE () sin() 7-8 cos (1) COS and C is the curve from P to Q in the figure.…

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