Find dy dy (①1 y = 3x² COS X 1st 2nd Teachers - way product rule 1st dee" 2nd + 2nd + 1st 3x² (-sinx) + cos(x) (6x) -3x² Sinx + 6x cos x 2) VE Cost H I+ sin x L Its in x (-Sinx) Quotient rule Ld H - I Ld L 2 COSX( COSX) (ltsin x) tsinx)2 = 1. y 1+x cos x = 1 - 3.y +5 sin x 2. y = 2 sin x 2 sin x tan x - 4. y = x sec x

Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

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Q: Q1- Prove that coth x = 2 csch 2x + tanh x %3D

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Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

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Q: 3D+1 {X²exZ (sin3 4-(b+1)

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Q: antiderivate of y = sin x + 6x2

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Q: cot (7x+5). sin ( 3x+2) csc ( 7x+5) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4x 3-limx-0 tan5x sin(cos y) 4-lim, y- 2

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Q: sin 4x cos 3x sin 2x tan 3z dx

A: (NOTE- Since it seems to be a typo mistake so, assuming that in the given integral all the variables…

Q: 8. Find if y (sin x + cos x) sec x dx

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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Q: sinh x 1 + cosh x dx

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Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et…

A: To find f't of the given function.ft=e3t+sint2t

Q: 'sin 2x 18. lim X-\ sinx в 2 со R-2

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