Consider the indefinite integral tan 0 In(7 cos 0) do For the following type theta for 0 This can be transformed into a basic integral through u-substitution by letting du do Performing the substitution yields the integral |- tan 6 In(7 cos 0) d0 du Now, evaluate the integral and find an expression for tan 0 In (7 cos 0) d0 in terms of 0. Use C for any constant of integration and type theta for 0. - tan 0 In(7 cos 0) d0 =

Q: Find the indefinite integral using the substitution x = 8 tan(0). (Use C for the constant of…

A: to find:- integral value of the given function.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos' (0) sin(0) dO

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Q: Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a)…

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

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

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Q: Evaluate the integral using the indicated trigonometric substitution. | 6x° /9 – x² dx, x = 3 sin(0)…

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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. (Use C for the constant of integration.) sin3 40 cos 40 de

A: Given:   you can solve this question using substitution.

Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Given; I=∫4xsin4xdx   ....1   As we know that; ddxax=axlna∫sinxdx=-cosx+C And ∫a·fxdx=a·∫fxdx, where…

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. (Use C for the constant of integration.) 8. de cos(8) – 1 8 cot

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 v cos 50 de

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Q: Find the indefinite integral by making the substitution x =sin e (Note: 0, "theta", represents an…

A: Answer is mentioned below

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

A: The given intregration,∫sin2θ3-7sinθdθ

Q: Evaluate the integral by using either = 9 sin 6, r = 9 tan 6, or r = 9sec8.(Use C for the constant…

A: we will use substitution to evaluate the given integral we know that  sec2(x) = 1+tan2(x)⇒ sec2(x)-1…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

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Q: Find the indefinite integral shown below using the given meth sin(x) cos(x) dx (a) substitution…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the indefinite integral using the substitution x = 2 sin(0). (Use C for the constant of…

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Q: C for the constant of integration.) Evaluate the definite integral. (Use sin(23x) xp 1 + cos (23x)…

A: The given integral is,

Q: Evaluate the integral by using either = 3 sin 0, x = 3 tan 0, or x = 3seco.(Use C for the constant…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos (0) sin(0) de

A: Given query is to find integral of the expression.

Q: Evaluate the integral (1+lnx)5/ x dx from 1 to e.    Find the indefinite integral: sin(x)…

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Q: Evaluate the indefinite integral. 17 dx 9 + x2 Give your answer in exact form. Use C as the constant…

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Q: Evaluate the integral using trigonometric substitution with x = 2 sin(0), x = 2 tan(0), or x = 2…

A: From the given problem:   I=∫ x34-x2dx ....(1)   Now substitute these values in equation(1).…

Q: 5. (a) Use integration by parts to evaluate: (i) fr sin(x)dr (ii) sec³(r)dr (b) Evaluate the exact…

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

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Q: Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where…

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Q: Evaluate the integral using trigonometric substitution with x = 2 sin(0), x = 2 tan(0), or x = 2…

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Q: Use a suitable change of variables to determine the indefinite integral. (Use C for the constant of…

A: Given the integral

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) [ 7…

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Q: Find the indefinite integral shown below using the given method. | sin(x) cos(x) dx (a) substitution…

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Q: e7# sin(2a)dx = %3D

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Q: 4. A wire is wrapped around an elliptical steel tube so that the wire has the shape of the graph of…

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Q: For cach integral, first simplify the integrand into a form where you can find the antiderivative,…

A: Solve in the following way

Q: Ssin (x) + sin(x) cos²(x) To evaluate the dx using basic formula of integration (without using…

A: This question is based on indefinite integral.

Q: Evaluate the integral using Integration by Parts, substitution, or both if necessary. tan (9x) dx…

A: Topic:- application of integration

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 14 + cos?(x)

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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.) sin3 30 cos 30 de

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4 cos(0) – 1 OP

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Q: Use a table of integrals with forms involving the trigonometric functions to find the indefinite…

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Q: Find the integral by first making a substitution and then integrating by parts. (Use symbolic…

A: Given integral :

Q: Find the indefinite integral shown below using the given method. ∫ sin(x) cos(x) dx (a)…

A: Given ∫ sin(x) cos(x) dx. We need to find: (a) substitution where u = sin(x)…

Q: Evaluate the integral. (Use C for the constant of integration.) sin3(0) cos8(0) de COS

A: We will substitution to solve this

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: Make an appropriate u-substitution, and then use the given Integral Table to evaluate the integral.…

A: Topic = Integration

Q: Find the indefinite integral. (Use C for the constant of integration.) 7. 7. cos Op

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Q: Consider the indefinite integral tan 0 In(7 cos 0) d0 For the following type theta for 0 This can be…

A: Please see the answer below.