Evaluate the integral: / sin x sin 3x dx cos x + cos x – cos 5x + cos x -Jcos 5x + 극cos2 x + C 3 cos 5x + cos 3x + cos x + C 20 6 O cos x - cos x + cos 5x + cos² x + C cos 5x -cos 3x + cos x + C 20 6. 4

Q: Compute the integral ∫dx / 5sinx+2cosx+2.

A: Apply t substitution

Q: Evaluate the integral dz 9 181- x² J81- x² 9

A: Given ∫09∫081-x2∫081-x2dzdydx

Q: 2. Use Cauchy's Integral formula, Evaluate the following sin42 IZ1= 3. (Z-4)3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (²-1)cos[cosh (In r)]ar 4.

A: The objective is to evaluate the indefinite integral.

Q: Calculate the exact value of each definite integral in Exer- cises 47-52 by using properties of…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (5) Find the indefinite integral (a)f Vtan x sec²dx (b)fem2* sec² 2xdx sin x (c) Cos x 1 cos-do 0 2

A:

Q: Evaluate the integral of sec^5 (x) tan^3 (x) dx * 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan*3 (x) +…

A: Given: I=∫sec5xtan3xdx   As we know that; The trigonometric identity; sec2x=tan2x+1 The Power rule;…

Q: Evaluate the integral.

A: Now put,

Q: Find the indefinite integral: 30 [cos 3x + sin 2x + e5x]dx 10sin 3x -20 cos 2x +6 e5x + C O 90sin 3x…

A:

Q: Evaluate the integrals ∫csch2 (5 - x) dx

A:

Q: ( 3.x³ – 2x³ + 5x² – 2 x3 + 1 dx

A: Given integral is improper fraction form so we need to apply long division method to convert it into…

Q: 14. Verify that f cotx dx = In(sin x) +C. (Do not try to solve the integral from scratch.) %3D

A: Given: verify that ∫cotxdx=lnsinx+c For verifying given integral, we integrate given integral

Q: In the indefinite Integral fin(cosh x + e*). sinh x tex cosh x + ex B) In(cosh x + e*) In(cosh x +…

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Q: .3 S cos³xVsinx dx

A:

Q: What is the integral of (2sec2x – sinx)dx a.) 2cosx + tanx + c b.) 2sinx + cosx + c c.) 2tanx +…

A:

Q: Evaluate the integral: e3Xsin(3x) dx O 1 e3xcos(3x) + C 3 1 -e3Xcos(3x) + e3Xsin(3x) + C 2 | 1…

A:

Q: evaluate the integral (Usec for the constant af mtegration) (Xt 6x) cos (x) dx

A: Use the integration by parts to simplify.

Q: Use any method to evaluate the integral. 20 dx (100x2 + 1) 2 20 dx (100x2 + 1) 2

A:

Q: Please do not email me to get solut instructors to use them for assignm Section 1-2: Integrals…

A: Evaluate integral.

Q: Find the Integral ofs Cosh (2x+3)

A: To find: The integral of ∫cosh2x+3dx. Formula used: Integration formula: ∫coshxdx=sinhx+C

Q: Determine the integral of sec^4 (x) tan^2 (x) dx *   a) 1/7 tan^7 (x) - 1/5 tan^5 (x) + C b) 1/3…

A:

Q: 33. Use integration by parts to find the indefinite integral. fxcos(2x)dx -xcos(2x)–sin(2x)+c а. b.…

A: To find the integration

Q: Use Simpson rule’ 1/3 Method with (n = 8) to estimate the integral: f(x) = 5x*((13x - x²)³)½ , where…

A: To evaluate the definite integral by the Simpson's 13 rule, use the following formula.…

Q: LV3x2 - 2x + 3 (3x – 1)dx

A:

Q: 19. Use Simpson's rule with n=8 to estimate the following integral. Estimate your error. So5-4 cos.x…

A: Given integral can be evaluated by using Simpson's rule with n=8 as shown below

Q: |In Exercises 67–70, use the following alternative method for evaluating the integral J = f sin" x…

A: Consider the given formulas:

Q: Some integrals that can be evaluated by hand cannot be evaluated by all computer algebra systems.…

A:

Q: Compute this integral ∫ (xsin^2(x)cosx) dx

A: We use integration by parts

Q: 1- 3 sin (x) dx. 2 cos2 (x)

A: Computer the Integral

Q: Evaluate the integrals ∫et cos (3et - 2) dt

A: We have to evaluate the integral: ∫et cos3et-2dt In this case we should use substitution method…

Q: dx 3-2x-x2 -3

A:

Q: Evaluate the integral of * | cot 2x csc* 2x dx esc* 2r -jesc* 2x + C -cot 2x -cot* 2x + C O Option 2…

A:

Q: Vsin x + 1 cos x dx

A:

Q: Which of the following integration expression can be transformed into integral of power (Ju"du). (c…

A: A

Q: cos'xsin*xdx IN

A:

Q: 2. Calculate the indefinite integrals for the following functions as integrands: 1 x In ¤/(In x)2–1…

A:

Q: (b) 3 – cos(x) 2

A: Follow the procedure given below.

Q: Evaluate the integral. Select the correct answer. 1 15 cos ²6 x - = cos 6x + C cos³6 6x- 18 O…

A: Given :∫sin36xdx

Q: Evaluate the integral. inegral  ax / (x2 - bx ) dx

A: Consider the given integration as I=∫axx2-bxdx⇒I=∫ax-bdx

Q: Can i get help with this problem step by step?

A: To evaluate the below integral

Q: Evaluate the integrals ( sec5 3x tan 3x dx

A:

Q: Use Cauchy's Residue Theorem to compute the improper integral (x + 3) sin(x) dx (x2 + 1)(x² + 4)2 00…

A: Given that ∫-∞∞x+3 sinxx2+1x2+42dx Using Cauchy residue theorem, we can written it as ∫-∞∞z+3…

Q: Evaluate the integral of 3(sinx)3dx using lower limit of 0 and upper limit = pi/2.

A:

Q: Compute the integral S do 2-sin 0 *

A: Apply linearity: Apply tangent half-angle substitution:

Q: Find the definite integral of ³ Option 1: 4 Option 2: Option 3: Option 4: Option 1 Option 2 Option 3…

A:

Q: What is the integral of (2sec2x – sinx)dx   a. 2cosx + tanx + c b. 2sinx + cosx + c c. 2tanx +…

A: Using indefinite integral,

Q: Evaluate the integral of sec^5 (x) tan^3 (x) dx O 1/3 sec^3 (x) + 1/5 sec^5 (x) + C O 1/3 tan^3 (x)…

A:

Q: Determine the integral of sec^4 (x) tan^2 (x) dx 1/3 sec^3 (x) + 1/5 sec^5 (x) + C O 1/7 tan^7 (x) -…

A: We us substitution method of integration to solve following integral

Q: integral of sec^4 (x) tan^2 (x) dx

A: Definition used -                                sec2x=1+tan2x…