sec (In x) + sec2(In x) tan(In x) 2х Given: dx Find: du tan(in x) 2х sec³(In x) + sec²(In x) sec(in x) tan(in x) o tan(in x) dx

Q: -4 tan-(x) dx 1 Find (x + 1)2

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Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

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Q: Solve dx dy for y= sec (In x) In (tan x)

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Q: du LI+ )(1 + tan"! v) 19. (1 + v²)(1 + tan v)

A: Since you have asked multiple question, As our policy we will solve the first question for you. If…

Q: sec" xtan y 4. For the function fS(x)-tanx, show that f*+y)-J69"-tanx tan y 5. For the function…

A: We use basic formula here, sin(x+y) = sinx cosy + cosx siny And Tan(x+y) = Tanx+ Tany/(1-Tanx.Tany)

Q: T/4 (b) 4 sec (0) tan(0)dө.

A: Answer is- 4(√2-1) Explanation is given below...

Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: dy 1- Which one is correct ? The Y of ex?tanx a) (x2 sec?x tanx + 2x tanx) b) (x² sec?x + 2x…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: If y=sin(tan(3x)), then dy dx Check = Select one: O a. 3cos (tan(3x))sec²(3x) O b. cos…

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Q: 1. L 16x dx 2. o &. + 2 +1 3. (sec x- tan x dx dx 4. cos x tan x 1/4

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Q: | sint x cosºx dx

A: Note: We shall answer the first question only as the exact one is not specified. Please resubmit the…

Q: Prove dx dx 1 f ( sec -x+tan –I 2 1 | f (cosecz) %3D Vsin r sin x

A: Apply trigonometric properties to prove the result.