Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of functions in parentheses. For example, sin (2x). ab sin (a) 00 9 sin (z) dr =

Q: Find the indefinite integral in each of the following. Show all necessary solutions. 3. sin ? x cos'…

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Q: Evaluate the indefinite integral. sin(x) cos(9x) dx = +C

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Q: Evaluate the definite integral below. 4e3¤-1 dæ

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

A: We have to find the integration

Q: Evaluate the definite integral. e 1/x³ xp

A: Given, ∫12e1x3x4dx

Q: Which of the following indefinite integrals will result to logarithmic expression? O Stan(sinx)cosx…

A: topic - integration

Q: Find the indefinite integral. sin 66 V cos 60 d

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Q: Find the indefinite integrals, if possible, using the formulas and techniques you have studied so…

A: the question is taken from the calculus in which we have to find the value of the given integral so…

Q: Find the indefinite integral.

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Q: 3 3x - sin(Tx?)dx

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

Q: (c) Prove, using the definitions of sinh and cosh in terms of the exponential function, that…

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Q: 18. sin y cos"ydy

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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: Which of the following indefinite integrals willresult to logarithmic expre. • Inx. A Ssec-(3x) dx 2…

A: We will find the solution.

Q: Evaluate the following definite and indefinite integrals (if they exist). Show all of your work for…

A: We can use method of substitution in order to solve the given integration.

Q: Evaluate the following indefinite integral. Do not include +C in the answer. 3 dx

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Q: Find the indefinite integral.

A: Given: ∫1θ2cos1θdθ Now by using the substitution, 1θ=u We get, ⇒∫-cosudu⇒-∫cosudu…

Q: Зу? + у — 1 y?

A: We have to solve the given definite integral: ∫123y2+y-1y2dy Rewriting the integral and solving the…

Q: Find the definite integral.

A: The given integrand is, fx=-sinx. The limit of the integration is, -π to 2π3. The objective is to…

Q: evaluate the definite integral.

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Q: Find the indefinite integrals of the following functions. X² −20 sin(x)

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

A: Use the trigonometric identity cos2x=1-sin2x to simplify ∫cos3xsin4x dx. ∫cos3x·sin4x…

Q: Evaluate the definite integrals

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

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

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Q: | Va? – 4 x² – 4 dx x2

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Q: Find the indefinite integral of the following function: (15)/(cos2x).

A: The given integral is,

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 integral (exact value). e3x sin(6x) dx = -1652.086

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Q: calculate this definite integral 5 at the top and 0 at the bottom pi(20/5 -4x/5)2  dx

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Q: sin( x)da 14.

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Q: evaluate the definite integral.

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Q: TT sinx sin 2x dx 2 cos x

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Q: Evaluate the following definite integrals log(1+cosx) dx .

A: Given the definite integral

Q: Find the following definite integrals. sin a dr

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Q: evaluate the definite integral from 0 to (1/3) of pi*tan(pi*x)dx

A: Given expression is,

Q: 3 E (It=X) xp x te

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Q: sin5x cos³x dx

A: Consider the given integral. I=∫sin5xcos3xdx Put sinx=t in the integral. sinx=tcosx·dx=dt Put the…

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: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: Evaluate the following definite integrals.

A: I =  ∫01xsinπx.dx  ................(1)we know ∫abf(x).dx = ∫abf(a+b-x).dx

Q: (c) Prove, using the definitions of sinh and cosh in terms of the exponential function, that…

A: The solution is given as

Q: Evaluate the definite integral. m/2 5 cos(x) sin(sin(x)) dx

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Q: cos(t) dt | 1+ sin? (t) 2

A: Explanation of the solution is given below...

Q: Evaluate the definite integral I (14e + 10z)dæ

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Q: | cos x sin xdx

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Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx

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Q: dx -(xvr -1)

A: Topic = Definite Integration

Q: 4) Find each integral by using inverse trigonometric functions. dx a) To-4x dx x+4

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