(1+cos.x) sin x tan x+sin x (10) %3D tan x- sin x

Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: Evaluate the integrals

A: We have to evaluate the given integrals .

Q: 1 lim h-0 2h sin(x²)dx = %3D -2h O cos(1) sin(1)

A: Using Fundamental theorem of calculus: ∫-2h0sin(x2)dx=sin(0)-sin((-2h)2)=0-sin(4h2)=-sin(4h2)

Q: 6 sin(x) + 2 cos(x) = 0

A: We are given trigonometric equation as

Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: 3 sin° x -dx Evaluate ' cos° x

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Q: cos x | = -dx =? 2 cos x+ sin x+3

A: Integral.

Q: 2x3 sin? x + x4 sin³ x – 3 sin² x + x* cos x 2 . dx x4 sin² x

A: I have stated the used formulas in the solution

Q: f(x) = (8 sin x + 3 cos x)tan1 -

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Q: 3-(cos x)y' =yCv-1) sin x.

A:

Q: cos*x If S(cos³x ·B) dx = + C, what is the B? 4 А. - sin x C. - COS X . 1 В. D. sec x CSCX

A: We have to find the value of B in the given question.  This question can be done by using…

Q: Find integral.

A: The given integral ∫-8cosx-7sinx dx can be evaluated as, ∫-8cosx-7sinx dx=-8∫cosx dx-7∫sinx dx…

Q: cos x lim z-n/2 sin (2x)

A: If limx→afxgx is in 00 form or ∞∞ form; then applying L Hospitals' rule we get:…

Q: lim h-0 2h sin(x² )dx = -2h cos(1) sin(1)

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Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

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Q: (40 sin (x) – 39 cos (x)) dx =

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Q: sech? (In x²) 15. f x/6 tanh (In x²) – tanh² (In x²) dx

A: I = ∫ sec h2 (ln x2)x6tan h(ln x2)-tan h2(ln x2)dx=∫ sec h2(2ln x)x6tan h(ln x2)-tan h2(ln x2) dx=∫…

Q: Evaluate (cos x In sin x) dx. Select the correct response: O cos x (In sin x-1) +C sin x (In cos…

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Q: 1) "(x - 2 sin(x))dx. 4+x² 2) ** dx. dx 3) S cos?(x) 1+tan(x)

A: To evaluate the integral.

Q: 3-f(x) = tanh¯1(cos(e*))

A:

Q: (3) csc¯'x = sin X 1/

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Q: In(cosh x + sinh x) + In(cosh x – sinh x) = - 1 -1 Leave Question 2.

A:

Q: [cos x - sin x 0] cos x 1] 5. If f(x) = | sin x 0|, show that f (a)f(b) = f(a + b).

A: f(x)=cosx-sinx0sinxcosx0001

Q: [(3 csc² x-1)dx a. – 3 tan x – x +c O . – 3 sec x – x +c - 3 tan x + c d. -3 cot x-x+c

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Q: x³ cos(x²) dx = k – | x sin(x²) dx

A: As per Bartleby guideline for more than one questions asked only first is to be answered please…

Q: 1 + sin x Differentiate y = x + cos x

A: As we know that: The Quotient rule: fg'=f'·g+g'·fg2 The Power rule: ddxxn=nxn-1 Given:…

Q: (i) * cos x + cos x tan²x dx sec?x (ii) |x – 2| dx (iii) | x²/x* + 1dx

A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

Q: 1 - cos x COs X 59. f(x) %3D

A:

Q: (x²–1)dx S (x++3x² +1)[tan-1 x2-1 aluation of is

A: Given integral is I=∫x2-1x4+3x2+1tan-1x2+1xdx To evaluate I Now, dividing the numerator and…

Q: f(x)=-7x(sin(x)+cos(x)) f’(pi/4)=?

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Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

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Q: cos e sin 0 for some real value of 0, and let B= -1 Let A = Consider x - sin 0 cos 0 Then ||(AB)x||…

A: Given,            A=cosθsinθ-sinθcosθ , B=0-1-10 , x=12To find : ABx

Q: sin ф dp cos? ф 4x 3x + cos (2x² + 1)| dx tan? x (1+ sin“ x) dr cos².

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: (2 cos x–sin x )" dæ sin x

A: Given: I=∫2cosx-sinx2sinxdx   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: 10. Solve the equation for x if 0 < x < 2n. 2 sin x - cot x = csC X

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Q: cos x F(x) = sin-1 1+sin x. F(x) = In ln In x

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Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: sin(x) – cos(x) lim x→-3a/4 DNE tan(x) – 1

A:

Q: 16. (sec x + tanx)² dx 32. sin? x cos x dx

A: We 1+ tan^2(x)=sec^2(x)  Also we integral of sec^2(x) is tan(x)

Q: 1 lim, (e** - 1)sin-+9cos x . x0

A: Given: limx→0ex2-1sin1x+9cosx we know that  limx→0ex2-1=0 and  limx→0sin1x=-1 to 1 so,…

Q: 3. COSX + sin x +1 dx 2 cos?x (sin?x+1)

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Q: X cos-dx x cos 3.

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Q: 3+(e*+3) sin x %3D tan(x³)-x

A: y=6x3+(ex+3)sinxtan(x3)-x

Q: 3) f(x) = cos (tan³(sin (x³))) %3D

A: Given, f(x)=cos5tan3sin2x5 now we apply chain rule to derivate ddxf(x)=ddxcos5tan3sin2x5

Q: 3 5. cos x dx > 6. sin x cos x dx =

A: According to the trigonometric ratio:  sin2x + cos2x = 1 Integration of cos x is sin x.

Q: 1.5; cOs X dx sin³ x – 4 sin x

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: S [tan® x sec6 x + cos“ x sin“ x + sin* x] dx

A: Given that: (tan8xsec6x + cos6xsin4x+sin4x) we solve this integration by using general formulas of…

Q: x) - 0.5 cos(x)) on the

A: Given as, f(x)=e-x3.2sinx-0.5cosx in the interval [3, 4].

Q: |(1+ sin x)'cos x in x) cos x cOS.

A: Given: ∫1+sinx3cosxdx