Evaluate the integral. 3 sin-x dx +C %3D

Q: 8) Evaluate each of the integrals below by using antiderivatives. b) f, sin' xdx 3. a) sinx dx c)…

A: a)

Q: 9. For the integral 8 sin" (x)cos(x)dx, if we use the substitution u = sin(x), what will be 3 the…

A: Topic - integration by substitution

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ cos¹…

A: This question is related to indefinite integration, we will solve it using given information.

Q: Evaluate the integral (use the substitution) : cos x dp- 9 + sin? x a. 6lu mlp + sin' x| + C 1 b. 1…

A:

Q: (Sy?-8X46) dx =?

A: We need to evaluate ∫045x2-8x+6dx

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. e8a dx +C

A: We have to evaluate the integral ∫e8x dx.

Q: Evaluate the given integral. [ 2x?sin(4x)dx

A: The given problem is solved below in detail.

Q: Evaluate the integral: 1 A 6 B С 3 D HIM P 16 sin(3x)cos(3x) dx

A: Solve by integration

Q: Bonus: Evaluate the integral (10 pts) cos'x dx

A: To solve this question we have to remeber one basic formula of triogonometry which is: Cos2 x = (Cos…

Q: Evaluate the definite integrals. 7/4 a) z tan(x?) dx b) [ 5a*e dx

A: (a) ∫0π/4xtanx2dx Let, u=x2 The derivative of the above equation. dx=du2x The lower limit is, a=02=0…

Q: Find the integrals using Trigonometric substitutions 1 (a) / Va? – x² dx (g) - 4.x2

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Q: Evaluate the integral 1 dx |(1+ sin æ)² Hint: Multiply the numerator and denominator by (1 – sin…

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Q: Homework: a) Evaluate the following integrals 1) | xe3* dx x? sin x dx 3) x sin 2x dx

A: Answer and explanation is given below...

Q: Evalute the following integrals. (1) /; COs x -dx. 1+ sin? x 2

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

Q: COSI 1. dz 1+2 sin z

A: Antiderivarive

Q: Evaluate the iterated integral. x? sin(y) dy dx (Use symbolic notation and fractions where needed.)

A:

Q: homework Q36. Determine the following integrals a) ſ 2 cos xdx b)S 5 sin xdx

A:

Q: *w/2 cos'x sin 2x dx

A: We have to solve the integral                                          ∫0π2cos3xsin2xdx

Q: Solve the integral. sec? x dx tan? x + 4 tan x 5.

A: Given: Let I=∫sec2 x dxtan2 x+4tan x To Find: To solve the given integral

Q: (B) Evaluate the integral ( Use Trigonometric Substitutions ) 25 x2 dx

A: We use Trigonometry substitution to solve this integration

Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

A:

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 044…

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Q: Evalwate the Integral Sin (x" +y2) dydx

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Q: Evaluate the integral. 5e" sin x dx +C NOTE: Enter the exact answer.

A:

Q: 6. fe cos' (r') di

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Q: a) FIND the following integrals: 2m i) S"(cos x +| cos x |)dx (ii) S

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. sin (80) d0…

A: The given integration,θ    ∫sin38θ dθ

Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

A:

Q: Evaluate the integral. xe dx NOTE: Enter the exact answer.

A: Find your answer below

Q: Find the integrals. Show all the steps. (a) [1 + A tan(u)]³sec?(u) du 1 sin(Bx) dx VC+ x8 (b) (c,…

A: (a)

Q: 3 (a) Showing your working, find the following integrals: x+1 (1) (i) [sin'xdr -dx. -2x+1

A: ∫xx+212dx

Q: Solve the integral. sec? x dx 5. tan? x + 4 tan x

A: Given integral is: Let tan x=u Then we get, sec2 x dx=du

Q: Find the value of the integral e* cos x dx Select one: a4 n4 .2

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

Q: Evaluate the integral. 37/2 8|sin x| dx

A: The given integral is ∫03pi2 8sinxdx. The function sinx is positive in the first quadrant and…

Q: Questions Evaluate the integral * • TT/4 cosh (tan 0) sec² 0 d0 -T/4 1 Add file

A: The answer is 2.350.

Q: EVa lud te the following integralsi (3 cos'x sin X d X

A:

Q: Bonus: Evaluate the integral cos?x dx

A: To evaluate the integral ∫cos2x dx

Q: 9x dx de (16 + x²) ² (Type an exact answer.)

A:

Q: 4 -dx |1-x* 2

A: The given problem is to evaluate the given definite integral with given limits of integration.

Q: Evaluate the integral. 5e" sin x dx +C || NOTE: Enter the exact answer.

A:

Q: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

A:

Q: Evaluate the integral using the properties of even and odd functions as an aid. * sin? (x) cos(x) da…

A: We have given integral ∫-π2π2sin2xcosxdx We have given function fx=sin2xcosx Now,…

Q: Sin X' cOS X dxN 9x2 16-x3 dx

A: 1. Given integral is ∫π4π3sinx·cosx dx Substituting  sinx=u ⇒cosx dx=du Hence, limits becomes,…

Q: Evaluate the integral. +C 17e" sin x dx || NOTE: Enter the exact answer.

A:

Q: A. Evaluate the following integrals: 3 1. tan'x dx

A:

Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

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Q: Evaluate the integral. a/6 9 sec?x dx a/6 | 9 sec?x dx = (Type an exact answer, using radicals as…

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Q: 5. Which integral requires more work to evaluate? sin“ x cos“ x dx 798 sın x cos x dx or Explain…

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Q: Evaluate the integral. 13 dx +C NOTE: Enter the exact answer.

A: Here we will solve the given integral,

Q: db 2 – sin²(b) – cos²(b)

A: Solution:Given∫db2-sin2(b)-cos2bFormula;sin2θ+cos2θ=1∫dx=x+C