Evaluate the following definite or indefinite integrals (you MUST show all integration steps!): (*(-1+sin e)de a. sec(In r) tan(In r) dr c. d. cos ß (sin B) dB

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt

A: ∫un du =un+1n+1+C

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 30 V cos 30 de

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Q: Find the indefinite integral. (Use C for the constant of integration.) V tan(8x) sec?(8x) dx

A: We will use the substitution, tan(8x) = u³ and proceed as follows :

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 12x) dx Cos In x +…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration. | cos(7/x13) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(3at) dt

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: Find the indefinite integral. (Use C for the constant of integration.) | (2 cos x + 9 sin x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(0) – 1

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan( 2 dx sec 20 20

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) cos?(x) 45 + coS

A: we know the trigonometric identitycos2x=2cos2x-1cos2x=1+cos2x2I=∫sin2x45+cos2xdxreplace value in the…

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 3 sin x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 30 v cos 30 de

A: Integrate by substitution

Q: sinh x dx 1

A: The integral ∫sinh-1x dx can be written as ∫sinh-1x·1 dx. Now use integration by parts to evaluate…

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: Consider the given integration as

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ∫(sin…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x 6 + cos2 x xp

A: indefinite integration

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 16x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 sin dx

A: Let I=∫sin1x6x7dx

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(e) -

A: The solution of given problem is follows as

Q: Find the indefinite integral. (Use C for the constant of integration.) tan x dx sec

A: Given that: ∫tan5xsec8xdx

Q: Find the indefinite integral. (Use C for the constant of integration.) an(x) In cos(

A: The given integral is: I=∫9tan xlncos x dx

Q: Find the general indefinite integral. (Use C for the constant of integration.) - 3u4 ته( ل u? +)

A: This question can be solved by using some basic formulas of integration like ∫xndx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sin(76) sec (cos(7)) dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 30 V cos 30 de

A: Given integral is ∫ sin33θcos3θdθ

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin20(x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 5 sin x) dx

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Q: (a) Integrate the following definite integrals by using suitable method: (i) S tan-1 x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 v cos 40 d0

A: We can find the integral as below.

Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(5 - 8x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2

A: To evaluate the given integral:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x)/sin^20(x)    dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) + 7X dx 1)e*?

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Q: Use integration by parts to evaluate the integral: ∫e^2r sin(−2r)dr

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin (5x) J1+ (cos (52))…

A: Here we have to evaluate I=∫sin(5x)1+(cos(5x))2dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 10 do cos(0) – 1 -

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin 1 (x) xp

A: ∫cosxsin16x dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(17x) xp 1 + cos?(17x)

A: Weierstrass substitution is used for converting rational expressions of trigonometric functions into…

Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration sin(2x) dx 31 + cos?(x)

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x xp 5 + cos? x

A: This question is related to indefinite integration, We will solve it using substitution method.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(6x) sin(cos(6x)) dx

A: In this question we have to evaluate the integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 30 v cos 30 de

A: Use integration by substitution method

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 46 + cos?(x)

A: