sin x g(x) : Select the correct response: 1 x cos x 2.x cos x – sin x

Q: COS X sin' n - Show that for n > 2, | sin x dx sin"-2x d.x n Use this to find sin x dx.

A: ∫f(x).g(x) dx = g(x).∫f(x)dx  -  ∫g'(x)∫f(x) dx   where f(x) is second function and g(x) is a first…

Q: Calculating derivatives Find the derivative of the followingfunctions.

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Q: sin In sin )dx - cos(sin-!x) + C V1-x? A) True B) False

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Q: Evaluate the integrals

A: We have to evaluate the given integrals .

Q: Evaluate /(sin x)² (sec x)-3 dx. Select one: a. sin x – cos x + C - b. csc x + cos x + C C. None of…

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Q: sin' xcos* x dx x cos

A: Perform integration

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: To evaluate: ∫sin7xcos5x1-sinx21+sinx2dx

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

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Q: cos( – x) + tan( – x)sin( – 2)

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Q: cos 2x sin'x dx can be evaluated by factoring sin x as (sin?x) 2sinx and transform sin?x into 1-…

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Q: (a) Find S(tan x)dx (b) Evaluate i sin 3x cos 3x dx d (c) Find (2x sin 2x + cos 2x) and hence…

A: a) ∫tan2πx dxb) ∫π9π6sin3x cos3x dxc) ddx2xsin2x+cos2x and ∫0π4x cos2xdx

Q: In the interval [0, pi], find the absolute extrema of: g(x) = ex sin x - sin x + cos x

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

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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: tan? x (1 + sin² x) dx cos? x 4 cos (a) x2 dx x3 sin3 (-) | V4 - V4-x dx

A: We have to solve the integral.

Q: sin? x cos x dx 3 x COS

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Q: (d) sec(x) – sec(x) sin²(x) = cos (x)

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Q: CoS 2X sin x,co

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Q: sin x dx cos? x + cos x 23.

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Q: sin(x) cos²(x)dx

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Q: sin x (cos x + 4) dx 1+cos?x

A: Given that: ∫sinx(cosx+4)1+cos2xdx

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: cos x = sin 2x, x I SO 3.

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Q: sin 2x dx Evaluate the definite integral: COS X

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Q: sin x cos x 15) Simplify: csc x sec x A) 0 C) tan(x) В) 2 D) 1

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Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: [cos x - sin x 01 If f (x) = | sin x 0, show that f(a)f(b) = f(a + b). 11 cos x

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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: sin(x) is The solution for lim 1- cos(x) O 1 O DNE

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Q: f2(x) = (4x + 5)°, fa(x)= (2x² +x)VI, fa(x) cos(3r) – 2 sin? x, COS

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Q: 2sina 1 - cosa + sin& If 1+ cosa + sina = x, then %3D 1 + sinɑ (A) ! (B) x (C) 1 -x (D) 1 + x

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Q: 2 sin (x) dz 4 cos? (x) + 2 cos (x)

A: The given integral is ∫-2sinx4cos2x+2cosxdx. Determine the value of integral by using partial…

Q: x cos x + sin x Find x sin x *xp-

A: Evaluate the following.    ∫xcos(x)+sin(x)xsin(x) dx

Q: sin x dx TT cos2 x + e cos x

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Q: sin x dy (2y Cosx + sin4 x) ax

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Q: f(x)=-7x(sin(x)+cos(x)) f’(pi/4)=?

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Q: sin? x cos“ x dx. 4

A: We have to find integration of sin²x.cos⁴x

Q: sin ®x cos*x dx. using Wallis formula

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Q: cos x + sin x dx Evaluate sin 2x

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

A: ∫1au+bdu =1a lnau+b+C

Q: cos x 3) 1+ sin x 6) [cosh vdv

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Q: x³ sin (x²) dx is evaluated using IBP, the value of v du When A 2 sin (x2) -2 sin (x2) none of the…

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Q: If f (x) = - sin(x), then f (10) (x) is equal to = - sin(x), thenf (10) (x) is equal to A - sin(x) B…

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Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

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Q: Solve r-t cos x+p tan x = 0, %3D

A: The solution is given as

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…