1. Show that | sin x cos3 x dx = sin® x sin x +C = - 8. cos*x, cosx cosx +C 3

Q: Prove that 1-x ', V 2 1+x cos'x = 2 sin 2cos 2 COS 1 -1

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Q: Evaluate: cos [sin cos[tan' +4 sin sec (" )

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Q: Find the value →21. csc (sec- 2) + cos (tan¬1 (– V3))

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Q: If /n= ( 5x + 9 )" sinx dx , Then I,+25n(n-1) In-2=. Select one: O - ( 5x + 9 )" cosx + 5n ( 5x + 9…

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Q: f(x) 3 cos x 2 tan x - - f'(x) = f' 3 r()-

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Q: sin( 2 tan-1 (x/ 12)) = Select one:

A: Can solve the given function by using double angle formula

Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: if Sec X = 2 then tanx +Cos X =

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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: 11) Prove cos+x -sinfx = cos 2x

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Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Prove that

A: Given:d2ndx2nsinx=-1n sinxd2ndx2ncosx=-1n cosx

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Differentiate: x¹0 cos(x)

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Q: 1+tanx b) 1-tanx = tan (x + ²)

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Q: 2. Show that cot x cos* x +C 4 cscx csc x | cot? x csc*x dx = - 6. 4 6.

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