The following is equivalent to the choices below except | (tan (x)+ 1) dx 1 dx cos? (x) sec (x) dx COS Option 1 O Option 2 sin- (x) + 1 dx cos- (x) tan x (tan x + cot x) dx

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Q: Differentiate the following function COS T 1 (a) sec(x) tan(x) (b) (c) sin (4x° + cos(x))

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Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

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Q: (cos x)(sin x)V1 – sin x dx

A: Let sin x = t , hence, cos x dx=dt . The integral, ∫(cos x)(sin x)1-sin xdx can be written as ∫(sin…

Q: ] 1 1-x² dx = tan¹(x)

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Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

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Q: If cosx = -2/3 and tanx < 0, then sin(x)= tan(x)=

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Q: S tan dx 3x -3x+4 dx x2-2x

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Q: g(x) = tan(sin²(x)) + e², +e?

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Q: 6. f tan x secx+4 cos x - dx

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Q: 3. S In(cos x) tan x dx

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Q: x sin x cos x Evaluate : dx. sin x + cos'x

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Q: (x² +1)Z. tan-1(sin 2x) Q2/ B/Find dy if у 3 dx (x2 +4)3 . sin-32x

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Q: tan x dx sec x+4 cosx 5.

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Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

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Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

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Q: IV. sec (3x) tan(3x) 12. Value of "F(b)" D. 1 A.0 Value of "F(a)" A.0 B.-2/3 C-2/3 13. B.-2/3 C-2/3…

A: Integration:- An integral assigns numbers to functions in a way that describes displacement, area,…

Q: cosx sec? x + cos x csc csc? x csc? x secx cos? x cos x cos x E f(x)dx _ 2 1. If f(x) 1 , then

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Q: True or false: For any constant C, d =[ tan(x) + C] = [sec(x)]² dx

A: The objective of the question is to verify whether the derivative of the function tan(x) + C equals…

Q: 1 O VE O V7 O V8 O V5 O V5 ||

A: This question is based on definite integral.