Em 2(tan (xt)) arte onlisw bns nousv x²- G* +5 bade

Q: Evaluate (x2 + 1) cosx dx O (x2 + 1) sin x + 2x cos x – 2 sin x + C - (x2 + 1) sin x – 2x cos x + 2…

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Q: 3. The value of A. B. C. D. [xsản xdx (1 - x²) 3/2 + C -sin-¹ x - √1 − x² + ² - (1-x²) ³/² + C sin-¹…

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Q: Let h(z) tan(5x + 5). Then h' (2) is and h'' (2) is

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Q: Example. Let T 3T , such that {0, 4 2 Rx - 4 Find E[sin(X)].

A: Since RX={0,π4,π2,3π4,π}, that mean each one of these have probability 15.So E[sin(X)]=15[sin(0)+…

Q: If f(x) = cos a- 5 tanx, then %3D f'(x) = %3D f'(5) =

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Q: ot/x csc Jx = xp csc x+C 2/x O csc x+C O -cof x+C O 1 cot/x +C

A: We will use substitution to solve this

Q: (a) f(x) = - x x – x² 4 (b) f(x) = 3sin(2x) + cos(6) (c) f(x) = sin(3) – 2³ + 4 %3D

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Q: x2 1+x2 x3 3 + C x+ x3 3 Ox- In (1 + x²) + C Ox – tan-1 (x) + C X - O In (1 + x²) + C

A: We have to find the indefinite integral

Q: S(x)=sin(xx), g(x)=x² -x

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Q: S sin³x vcos x dx 2 Vcos7x + Vcos³x + C |cos³x 2 Vcos³x + C B 2 Vcos"x -Vcos?x + C Vcos³x + C none…

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Q: 15) Find The natural domain (a) fu) =3os X dix) = Sinx © gu) = rx) = V9-x2 %3D

A: It is given that

Q: If f(x) = 3sin(#), then f'(x) (A) In(3) cos(x) 3sin(æ) (B) cos(x) 3sin(æ) (C) In(3) 3sin(x) (D)…

A: Given:- f(x) = 3sinx To find:- f'(x)

Q: Suppose f(x) = 2sec(x)csc(x)In[tan(x)] A - 21n²[tan(x)]+C ® - In [tan(x)]+C © In [tan(x)]+C D 2ln…

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Q: IF Casx Sin"x =A +B Cos aX+C cas 4X+ Dcos Əx CoS 4X then A =[ B =1 C = %3D D.

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Q: If u = x² tan equal to (a) (c) x - y x + y - 2 x² + -1X 2² μ is - then 9 Әхду y -1 ½ - y² tan X (b)…

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Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

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Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

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Q: a) f(x) = 1+ Sinx for all x e R

A: According to the question, we need to plot the graph of the function: f(x) = 1+sin x The graph of…

Q: Evaluate: /sin(Vx)dx 2/x sin(/x)+2cos(/x)+ C B2sin(x)-2/xcos(x)+C 2/xsin(x)-2cos(x)+C D None of the…

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Q: Q.No.3 Evaluate Sx cosec-xdx.

A: Explanation of the solution is given below....

Q: m,n, p,q,r and C are constants not equal to zero. cos x - esin(x) + e$in(x)+x esin(x) dx Evaluate m…

A: We will find the value.

Q: Let br = sin-¹) and C₂₁ = sin Σ(1+bn) n=2 +00 Σ(bn – cn) m=? ou+ for all n N such that n ≥ 2

A: both of the series is divergent. see my solution below

Q: If f(x) = 7 sin x + 7 cos a, then %3D f'(x) = %3D f'(3) = %3D

A: Given functionf(x)=7sinx+7cosxdifferentiate with respective xf'(x)=7cosx-7sinx…

Q: Fnd general solation:. Cosx x2

A: Given: y'+2xy=cosxx2

Q: Evaluate y" - y' - 2y = sin2x О а. у%3 (С1* e^-x) + (C2 * е^2х) - (3/20 * sin2x) + (1/20 * сos2x)…

A: Given equation is         y''-y'-2y = sin 2x Find : Complementary function The auxiliary equation is…

Q: Even and Odd FunctionsIn Exercises 47–58, say whether the function is even, odd, or neither. Give…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate: (교2 + 4)- (A) None of the above (22 + 4) tan- (E) + x +C 16 (a2 + 4) B f (x) = %3D © f (x)…

A: The objective of the question is evaluate the indefinite integral and choose the correct option.

Q: 2 The √tan x secxdx is {A} tan³/2x-tan7/2x + C {B} tan³/2x + ² tan7/2x + C {C} tan5/²x + tan7/²x + C…

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Q: a) f(x) = 1+ Sinx b) f(x) = x² + 2x- 1 c) f(x) = 2* + 2 for all x eR for all x eR for all x eR

A: Given function are: [1] f(x) = 1 + Sinx   for all x ∈R [2] f(x) = x2 + 2x - 1  for all x ∈R [3] f(x)…

Q: Is f(x)=2sin(x)cos(x) even, odd, both, or neither?

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Q: 4. Let f(x)= 5Vx and g(x)= 4 + sin x. (a) Find (f ° (x) and (f ° g'(x). (b) Find (g ºf)(x) and…

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Q: p(x) = (e³x+5 + n)³. q(x) = In(5e* + 6 tan x). u(x) = e*In(x)-x+2.

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Q: al f(x)= 2 sin (x – 3) – 1 To f(x)%3D2 2 b) f(x)=-6 cos (x + 1) + 3 T 1)+3 c) f(x)=2 tan (x – 1)+2

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Q: If f(x) = csc(3x). then f' (x) = %3D o -3csc(3x)cot(3x) o -3csc2 (3x) o 3sec(3x)tan(3x) o 3tan? (3x)

A: Given: fx=csc3x To evaluate: f'(x)

Q: A. Find y' if 1. y = x² cos² 3x

A: y=x2cos23xApply product rule to differentiate the given function y with respect to…

Q: Evaluate A2 (sin x) O A. sin(x + 2h) – sin(x + h) + 2 sin x O B. sin(x + h) – sin x O C. sin(x + 2h)…

A: We  need to evaluate ∆2(sinx) The solution is explained below.

Q: sin 3y limy0 5y 05 O 3/5 00 03

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Q: lim x" sin is NOT zero when: x→+∞ O a 1 a > 1

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Q: 25. fx sec²xdx is a. x tanx - In cos x b. x tan x + In cos x c. x tan x-sec²x + C d. x tanx+sec²x +…

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Q: Let f(x) = sin(x) and g(x) = x². Find (fo g)' (x). (2æ)cos(x²) O (-2x)cos(x²) 2sin(x)cos(x) 2xcos(x)

A: Topic = Functions

Q: iv) Evaluate fsin' x cos² x dx .

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Q: Homework: 1. If y=tan x, prove that y`= 2(y +1)(3y² +1).

A: As per the guidelines I solve your first question. For more solutions please resubmit the question.…

Q: If  y = tan-1( k x) + tanh-1( k x)  and  (1 - 256 x4 ) = A Then A +k =..........

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Q: A -2 f Coxx dx x’sinx + 2x cosx – 2 dx + C

A: Using integration by parts,we got correct answer as option -(A)

Q: y 5)if y =x6- 3x + cos x then a) 360x2-72+ cos x b) 6x5 - 12x3 + sin x c) 120x3-72x + sin x d) 360x2…

A: Since this is a multiple question according to the Bartleby Answering rule, only first question is…

Q: %3D If y= In( 8 tanx), then y' tanx= Select one: 01/(1+x²) 08/(1+ x2 ) 08/(64 + x2 ) O 16 x /(1 + x²…

A: Basic Derivatives : →d(tan-1x)dx=11+x2→d(lnx)dx= 1x   Any function can be differentiated only…

Q: What is x sec xdx ? A. xtan x- In cos x+ C C. xtan x- In |secx+C | B. xsecx-secx tan x+C D. xsec x+…

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Q: -ose. =ose f(x) = sin(2-3x). Evaluate: ) - 3cos(3x – 2) + c D jcos(3x – 2) + C

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Q: fxsinxdx O xcos(x) -In sin(x) + C ○ -xcos(x) + sin(x) + C O xcos(x) + sin(x) + C O xcos(x) - sin(x)…

A: Topic = Integration

Q: dx Evaluate / 25+7x2 V7x + C -1 tan O None 1 V7x tan- 25 + C 25 1 tan V7x + C 7.

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