raluate the following integrals. 3x dx dx Hint: Multiply both denominator and numerator of the fraction by 1+ sin x. 1- sin x

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A: Definite integration

Q: -It/2 S cos (x) esin (x) dx 0.

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Q: Find the value of n in the following definite integral. So 4x° dx 1 Answer:

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Q: Solve the following integral Sx sec? x dx

A: The given integral is ∫xsec2xdx

Q: 3x?e³+x? + 2xe *°+x² dx

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: 2) Find each integral by substitution a) [5x*(x' +7)'dx b) [x'e' dx

A: a) ∫5x4x5+73dx......(1) Put x5+7=t Differentiate the above function ddxx5+7=dxt5x4dx=dt Substitute…

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

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Q: 3.) 124-1|dx Evalnate: dt given taat Ina = 9 Evalmate t

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

A: The given problem is solved below in detail.

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Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

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Q: Solve the following integrals. 3.) So Sy dxdy y²-x²

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Q: = Solve the following integrals:- dx (2) dx

A: First do some Algebraic calculations then integrate

Q: S sec2 70 d0

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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: •34 dx J. (* – 2)4/5

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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: 1. Solve the following integrals: xp. 5x+3 а. b. S(3sec?x + sinx)dx

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Q: Solve the following integrals? (1/(1+x³)) 3 - dz 2z - i C |

A: First part is not complete, pls repost it.  In second part ,singularity at z=iota/2 and analytic…

Q: Evaluate the following integral as it is written. 1 4x 3xy dy dx 0 x3 1 4x 3xy dy dx = 0 x3…

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Q: Solve the following integrals. (i) cos x + cos x tan²x dx sec?x

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Q: бх + 9 dx V6х — х2

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Q: Evaluate the definite integral given below. 7 dx 16+16x? Enter your answer in exact form.

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Q: Evaluate the following integral. 2 4 5 dx dy dz -220 245 dx dy dz =| (Simplify your answer.) -22 0

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Q: #2

A: To find out the integration.

Q: Evaluate the definite integral.

A: Given: I=∫oaxx2+a2dx          , a>0 for evaluating given integral, we substitute x2+a2=t2…

Q: - sec (r)) de 3a sin(r+5) da

A: Integrate

Q: Evaluate the integral (exact value). e3x sin(6x) dx = -1652.086

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Q: Evaluate the integral.

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Q: (c) [* '지/2 cos" a sin? xdx 3 (d) x/x² – 9

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Q: Evaluate the integral. 5 x² e dx + C NOTE: Enter the exact answer.

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Q: 6 ∞ 9 cos (7) x² dx I

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Q: Evaluate the given integrals. 2. S sin?x sin 2x dx

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Q: use the indicated substitution to evaluate the integral.

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Q: dx 2x² 2. + 6

A: Given ∫4x2x2+6dx In order to solve the given integration first substitute 2x2+6=u and then proceed.…

Q: Evaluate the integral 1 dx 1+ sin x by multiplying the numerator and denominator by propriate…

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Q: Evaluate the following integrals (You need to show all your works) Question-1 (. 10 sinx (-2…

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Q: 1 36* dx V6* + 3 2x dx x2 + 2x + 5

A: The given integrals are: ∫0136x6x+3dx and ∫2xx2+2x+5dx

Q: Solve the following integral xe* dx 1

A: Calculate the integral         ∫12xex3 dx

Q: 3n/2, #/? (sin 2x)dx

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative…

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Q: x² dx V(a? – 8)5

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Q: 3 sin 2 tsin2tdt (A) sint 3 (B) sin 21 (c) cost D sin2t E) None

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Q: 863 e- dx r=0

A: Note:

Q: esin(e")dx 8 cos (e*

A: Evaluate: ∫exsinexdx8cos2ex

Q: х+1 dx 3 2 2 25 - x

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Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

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Q: Evaluate the following integrals using Trigonometric Substitution: 1. X-1- 16x dx

A: Given integral: ∫x1-16x2dx