Evaluate the indefinite integral. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) (37 sin (x) - 38 cos (x)) dx =

Q: Evaluate the indefinite integral. - sec? (x)) dx (Express numbers in exact form. Use symbolic…

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Q: | cos (x)sin(x)dx

A: We have to find the integration

Q: Find the indefinite integral.

A: To find, ∫8x cos2x dx We use the following formulae ∫c f(x) dx=c∫f(x) dx∫xn dx=xn+1n+1∫cos(ax) dx…

Q: Find the following indefinite integrals. (i) (ii) | cos (2x) sin (2xr) dx

A: According to question  given :(i) ∫xex21+ex2dx(ii) ∫cos3(2x) sin2(2x) dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 x/ 25 - (In x)? In(n1) 5…

A: The given integral,∫5x25-ln x2dx

Q: "/2 cos* x dx /4 sinb x

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Q: In the given equation as follows , use a table of integrals with forms involving ln u to find the…

A: Let I=∫x2-6x+2x3+2x2+xdx. First, factors the denominator x3+2x2+x. Use the identity a2+2ab+b2=a+b2.…

Q: Find the indefinite integral. (Use C for the constant of integration.) fe- cos 90) de

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Q: Solve the following indefinite integrals. coS X dx sin² x i) COS- sin dx - 2.

A: Integration is a method of adding several small elements to make up a whole. There are 2 types of…

Q: dx 1 sin xcot;x

A: We need to evaluate the indefinite integral ∫dxsin12x cot12x Now, we will use the fact that cot…

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

A: ∫cosx dx = sinx+C dxndx=nxn-1

Q: In the given equation as follows , use a table of integrals with forms involving ln u to find the…

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Q: Consider the indefinite integral æ° · a. Va +4 dæ: This can be transformed into a basic integral by…

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Q: Find the following indefinite integrals.

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Q: Consider the indefinite integral m())" (In(x))² dx: This can be transformed into a basic integral by…

A: We have to integrate the given indefinite integral, ∫ln(x)2x dx

Q: S cos(3=)dz

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Q: In the given equation as follows , use a table of integrals with forms involving ln u to find the…

A: The given integral can be evaluated by the method of substitution. We know that,…

Q: Evaluate the indefinite integral. Type pi if you need r in the answer. 11/2 + 7x5/2 – x) a - IT dx

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Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: 4. Find the following indefinite integrals: 6 sin(x) cos(x) (a) S sin? (x) + 1 dæ;

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Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: Consider the indefinite integral ба + 2 dx: a) This can be transformed into a basic integral by…

A: To evaluate the given integral.

Q: Evaluate the definite integrals

A: We substitute cosx =t and sinxdx=-dt

Q: Evaluate the following definite integral: / -3x(-2x² – 1)° dx Enter your answer as an exact fraction…

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Q: Which of the following is one of the correct/convenient steps to evaluate cot-4dx which will yield…

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Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

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Q: Find the indefinite integrals of the following functions. 2 sin(x) + 3 cos(x)

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

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Q: In the given question as follows , find the indefinite integral using any method:-   see the…

A: ∫ θsinθcosθdθ=∫12θsin2θdθTake the constant out:  ∫a·fxdx=a·∫fxdx=12·∫ θsin2θdθ=12-12θcos2θ-∫…

Q: Find the Indefinite Integrals below (Show your work, and DO NOT simplify your answer). x3 – 1…

A: We have the basic Integration formulas,   ∫(f(x)+g(x))dx=∫fxdx+∫gxdx+c    ∫sinaxdx=-cos(ax)a+c…

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

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Q: In the given question/s as follows , find the indefinite integral :-  see the equation as attached…

A: To evaluate ∫sin3 3x dx

Q: In the given equation , find the indefinite integral :- see the equation as attached here

A: This question is taken from the indefinite integral in which we have to find the given integral and…

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: Solve the following indefinite integrals. (a) cos x -dx sin? x (b) sin- cos cos,dx (c) sin) dx cos

A: (a) To find: The indefinite integral of . Calculation: Substitute in . Substitute in above…

Q: Find the indefinite integral of 1/3 e x dx

A: Given indefinite integral is: I=∫13exdx We have to integrate the above with respect to x.

Q: 3. Evaluate the following integrals. For each integral, briefly explain what method you are using…

A: Please see the answer below.

Q: Determine the indefinite integral e - e¯ª cos x dx.

A: ∫e-xcosx dx

Q: Find the indefinite integral. ∫ (5 − cos 3  ) d

A: Let the given integral be y - y = ∫5-cos3xdxy = 5x-sin3x3+C                          ∫xndx=xn+1n+1+C…

Q: Evaluate the indefinite integral -10 sin (x) cos(x) dx +C

A: Given:

Q: Find the indefinite integral

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Q: Find the indefinite integral ∫(1/θ2) cos(1/θ) dθ

A: Here given as I=∫1θ2cos1θdθ

Q: Given |(-2x° + 3x – 3x° – 6)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Integral x^n is x^(n+1)/(n+1)

Q: '1 1 use this fact and the properties of definite integrals to evaluate 3 (6 – 9x²) dx. Given that…

A: follow next step

Q: T/° cos® 3 0de Co.

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

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Q: -x+cos x Using appropriate substitution, the integral S dx is an e-x+sin x equal to:

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Q: 34. cos(m/x) dx

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Q: Evaluate the definite integral of the following: a. ∫0π/2 cos(2x/3) dx Read as: The integral of…

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

A: To find the indefinite integral ∫116-x232dx