n/2 cos x esinx dx = ? A e-1 B e/2 c) 1-e

Q: 2. cos?x dx =x+ sin 2x + C X_SO

A:

Q: cos x -1 dx = ? 22n (a) (-1)". (2n) (2n)! 8. (b) (-1)". 22n+2 (2n+2).(2n+2)! n=1 n=1 2 19

A: Here we have been given the integral  ∫02cosx-1xdx

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 10 - cln(2n) e cos (e") dx 0. a) О sin (1) b) O e2m - 1 c) O 1 d) O e27 e) sin (1)

A:

Q: cos x – 1 dx = ? 22n 22n+2 (a) E(-1)". (b) Σ-, (2n).(2n)! (2n +2).(2n+2)! n=1 n=1 22n+1 22n-1 (c)…

A: Given, I=∫02cosx-1xdx I=∫02cosxx-∫021xdx now solve both integral…

Q: п/4 sin7x + 1 dx cos?x - π/4 Select one: а. 2 b. 4 С. 1 d. 0

A:

Q: 39 Find 3+e" - dx. a) b) sin' xcos x dx

A: Given that:                               (a)∫013+exexdx(b)∫sin2x.cosxdx

Q: 3.fe²x cos 3x dx

A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

Q: (c) Show that e* sin(x²)dx < e – 1.

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Q: d 1. Find (esin(x)+cos(æ)) dx

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Q: (d) ƒ sin(1 – x)(2 – cos(1 – x))ª dx

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Q: (a) /4 1+3 cos² 1 d.x; COST dx3B

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Q: dx = 1– cos(bx) Select one: a. br – In sec(bx) + tan(bx)| + C b. – csc(bæ) – cot(bæ) + C - - In |1 –…

A:

Q: (T/2 cos® x dx Determine the reduction formula for cos" x dx and then find

A: Given, ∫cosnx dx∫0π2cos6x The reduction for the above integral will be,   ∫cosnx dx=cosn-1x sin x…

Q: e) S̟ =Č(-1)" sin³(;+n£) Vn+1 n=0

A: The solution are next step

Q: S 17x cos (In(x)) dx =? .3 COS A) 30 B) 20

A:

Q: COS X -1 dx = ? X 22n (a) E(-1)" (b) E(-1)" 22n+2 (2n +2).(2n+ 2)! (2n).(2n)! n=1 n=1 22n+1 (c)…

A:

Q: 2n 3. o (x + cos x) dx

A: Given :

Q: 1 dx x +c, find- dx exactly where c is a constant. 5. If 1+cos x = tan 2 X 3+3 cos 4 n dx tam S c /+…

A: It is given that

Q: 4. Solve for ſ e* sin x dx in the equation S e* sin x dx = e* sin x + e* cos x - Se* sin x dx + c.

A:

Q: 12 1 dx 1+ x2 5e* 2.) / sec(a) tan(a) e* sec r dx 3.) /; 15x4 d.x 3

A:

Q: 4. f cos? 2x 4. cos? 2x sin 2x dx 2 2 5. f sin¹¹ ²3x cos / x 3x dx

A:

Q: (a) L{t+ sin 4t – e cosh nt} -

A: As per our guidelines, we are supposed to solve only first question.

Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

Q: e* sin(e^)ax 8+cos²(e*) (x+2)dx x2-3x+5 .2 dx

A: Given that

Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: +6 cos(x³) A True B) False |dx=0

A:

Q: e) S„ =E(-1)". sin (5 +n5) Vn+1 e) S. = n=0

A: Note:-  Sum of convergent and divergent series is divergent. cos2x=1-2sin2x⇒sin2x==121-cos2xput…

Q: 2. In π 2 π ln - 4 e* cos(ex) dx

A:

Q: 1. L{e³t+cos 6t - e³t cos 6t}

A:

Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: Solve the equation for eif 0° se< 360°. cos e- 3 sin e=. 3 210°, 270° 60°, 120° 30°, 90° O 120°,…

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Q: 2 dx (a) t = tan x. %3D 5+4 cos 2x 0.

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Q: a) [ sin³(2x) cos(2x)dx (a) [ Sin(+) dx (b) [ Sin(F) dx dx (2 + e*)? dx |2+e*

A:

Q: 3) I = dx 4) 1 = S cos?x dx

A: Given that

Q: e cos (2x) dx

A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

A:

Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: dx = 3 cos° x/2sinx

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Q: cos (1/x) dx ∞ o COS 21. 12

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Q: d. sin(x) - 0.6 e. tan(x) - 1 f. cos(x)3 Note what happens when you try to solve this. Why do you…

A: In this question we need to find a inverse of the given trigonometry function.

Q: e* cos e* dx J 4 + sin²e* A 1 tan-1 2 sin e* + C sin? e* + C 2 2 tan-1 B sin e* tan- 2 1 tan-1 2…

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Q: (d) cos x + 1 d.x cos² x (e) / (cos. (cos 0 csc? 0 + 0) d0

A:

Q: E valuate dx 7-3 Sin X +6 Cos X

A: solution.

Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: dx 5+4 cos x

A:

Q: dx 3+2 cos x

A: The value of the given integral is 2√5/5 Arctan[√5/5 tan(1/2 x)] + c

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :

Q: d) cos (5æ) cos(7r)dx e) S tan e sec“ rdr

A: we have to find the following integral