2 point Find the integral: / = I. (cosax cosnx ) dx a sinan cosn a². 2a sinan cosn (A) I = (B) / (a7) -n? 4a sinan cosn 4a sinan cosnT (C) I = (D) / = %3D (an) +n° a² +n? (A) (B) (C) (D)

Q: bu=I 는 %3D Sin nT x dx 2. ans Exco xcosuT si How to access the integration product using the table…

A:

Q: = - 1) ex²-x dx x. Use the substitution method to rewrite the function in the integrand, (18x – 1)…

A:

Q: Steb by step

A:

Q: Find ∫ tan t sec2t dt  two different ways using the substitutions A. u=tan t B. u=sect C. Show…

A: Given: ∫tan(x) sec2(t) dt

Q: What is the integrable form of sin-cos-sin0 d0? 2 2 A du B cosu du 2 -: / sinu du D du

A: Let's find.

Q: stion 30 Complete the integration: Ssin (x)cos°(x)dx x sin (2x) sin³(2x) 16 32 Determine the value…

A:

Q: sin 0 -do 4+cos 0 Evaluate

A: Since 4+cosθ is never zero in 0 to 2π as -1≤cosθ≤1. So, 3≤4+cosθ≤5 So, sinθ4+cosθ is analytic in 0…

Q: X sinx cosx dx

A: To Determine: find the integration  Given: we have ∫x cosx sinx dx Explanation: we have ∫x cosx sinx…

Q: (1 point) Evaluate the integral e 24 cos(-3t) dt Note: Use an upper-case "C" for the constant of…

A:

Q: Evaluate integration 1/(x^2-9)^(3/2) dx using trigonometry substitution

A: Consider the given integral as ∫1x2-932dx. We use the trigonometric substitution x=3sect to evaluate…

Q: 1 (7 – x²) sin nxdx An 2(-1)"+1 n3 II

A: Integration by parts  ∫U·Vdx =U·∫V dx-∫dUdx∫V dxdx Where U and V are the function of x . Also,…

Q: Determine the constants a and b such that                                                       sin…

A:

Q: d Prove that 1 da (sin-1æ) = V1 – a? -

A:

Q: 1. Jx cos 3x dx Sx² cos x dx 2.

A:

Q: 10 Use appropriate formulas from geometry to evaluate the integral (-2)dx. Write the exact answer.…

A:

Q: sin 50 do 1+ cos 50 Evaluate the integral using the substitution u = 1+ cos 50. sin 50 do 1+ cos 50…

A:

Q: What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C…

A:

Q: Solve the integral. sech x tanh x 9. 9 + sech? x

A: Given integral is I=∫sech x tanh x9+sech2xdx   Substitute sech x=t sech x tanh x dx=-dt Integral…

Q: [(2-sec²x) elnate sec³x dr What should be the value of A for to be integrable using the formula 'du…

A: Let's find.

Q: Verify the integration formula. S 6 sechx dx = tan-1 (sinh 6x) + C (A) No B) Yes

A:

Q: Find the trigonometric integral. (Use C for the constant of integration.) (cos(20))(sin(0) +…

A:

Q: By Cauchy's integral formula show that, Se" esin e -2n cos(cose) de = 2n; "esine sin(cose) de = 0 0,

A: Cauchy's integral formula : Let U be an open subset of the complex plane C, and suppose the closed…

Q: i ösin° ( 4x) cos (4x) cos" (2x)dx

A: To Solve the definite integral:∫0π45sin3(4x)cos2(2x)dx

Q: Step 2 To find the integral x Cos Bx dx by the parts fomula, us sin , as Used in the previous step.…

A: Integration by parts ∫u.vdx=u∫vdx-∫dudx×∫vdxdx To find: ∫xcos8xdx

Q: Find the indefinite integral. sin(9x) sin(2x) dx (Hint: See the hint for Exercise 50 in Section…

A:

Q: Complete the integration: 1 1 Scos (2x)dx = sin 2x -sin 2x + C Determine the value of "?".

A:

Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

A: It is integral problem.

Q: 45. cos(In a) dr First make a substitution, then use integration by parts.

A: NOTE: Refresh your page if you can't see any equations. . .................(1) substitute…

Q: 10. S(tan x – 1)²dx

A: Topic:- application of integration

Q: 91. Prove the integration formula tanx dx = In | secx| + C (a) by using algebra and integration by…

A:

Q: 9. S sec³ x tan x dx

A: Given ∫sec3xtanxdx We know that  ∫secx.tanx=secx + c ∫xndx=xn+1n+1+c

Q: Question * Using integration by parts, the integral [(-4x² + 9) co cos x dx is equal to:

A: intregation by parts

Q: Consider sin °x cos2x dx. f we let 4=cos x, the integrand can be transformed to

A:

Q: Evaluate the integral cos3 x + sin? х+1 dx cos² x (sin² x + 1)

A:

Q: What substitution should be used to solve the integral O sinu=3x/2 O sec u =2x/3 O sec u =3x/2 O tan…

A:

Q: Solve using an integral cos²(x) + 2cos²( cos³(x) .dx

A: Evaluation of the integral

Q: Evaluate | tan (3x) sec*(3x) dx. EXAMPLE 5 If we separate one sec2(3x) factor, we can express the…

A:

Q: (a) S sin(ax) cos(7x) dx 17x3 dx (b) Jo Tx4-b)²

A:

Q: Q/Evaluate Integral:- sec2 3x dx tan23x-3 tan3x+2

A: To evaluate the integral:

Q: Integrate (t^2)sin(4t) with respect to dt using integration by parts (IBP). Show all the steps…

A:

Q: (2) / 1 - 12/9 - x2 dx

A:

Q: Evaluate the integral. dx JSlx2 - 3 sin 1 33 x + C 3 sec1 |9x - 3| + C sec 1 19 x| +C * sec 13/5 x|…

A:

Q: Use trigonometric substitution to solve the integral Jx*V1+x² dx

A: Note the results :     (Identity)

Q: The trigonometric integral [sec² x (tan³x - 2 tan² x) dx is equal to

A: SOLUTION-

Q: За + 2 dx. V6 – x2 x2 + c Evaluate the integral - а) 2 arcsin( 6а) — 3у6 — 2? +с - b) 2 агcsin( ба)…

A:

Q: Use integration by substitution or integration by parts as appropriate to evaluate Axsin (Bx) dx…

A: We are given A=3 and B=3 now putting the values in integral it becomes ∫0π23xsin(3x) dx first we…

Q: Use integration by parts to evaluate the integral: sin( – 8r)dr - 05 e-r(sin(-8r) - 8 cos (-8r)) + C

A:

Q: 4. Use integration by parts to evaluate (2x - 5) cos(5x - 2)dr.

A:

Q: ubstitution and by parts?

A: we have to integrate ∫cos(ln x)dx integration by substitution and by parts.

Q: tan Find the integration of 1₁ 1+z²

A: