If y = (tan6) 260 +1 find dy ,then choose the correct answer: %3D dx 2 tan e a) V20+1 tan e b) V20+1 tan e c) 2v20+1 + (sec 20)v20 +1 + (sec 20)/20 +1 + (sec 20) V28 +1 tan e d) V20+1 + (sece tane) V20 +1 b d

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

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A:

Q: 1 |dx I (sec² x csc* x.

A: Integration gives the function whose derivative is given. It is nothing but adding all to make…

Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

A:

Q: Evaluate: 2x +tan 2x 1/3 COS ,2 1+x? 1-x2 dx. e* +1 -1/3

A:

Q: Evaluate. 9- xp- dx%3D Evaluate. dx | dx = Evaluate. dx dx =

A: As per guideline we have to solve 1st 3 parts

Q: tan 0 d 30. dO sec² y dy

A:

Q: Ja + + tan x) sec?x dx

A:

Q: S tan5x dx ап

A: Solved below

Q: Inverse Thig Achinty B . g)-3 tan- (3x) y=(5x²)(cas"!2x) 3. Ccsc-!2x) 4 2. - y =

A:

Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

A:

Q: ax 5x +16

A: Our Aim is to integrate:-∫dx5x2+16-(i)

Q: (tan V) (sec V) b) Evaluate dx

A: Given integral: I=∫tan4(x)sec2(x)xdx

Q: What is tan-¹(2x²+1)³? dx 1 (2x² +1) +1 3(2x² + 1)² (2x² +1) +1 12x(2x² + 1)² (2x²+1)6+1 x²(2x² +…

A:

Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

A:

Q: Differentiate y = 5 sin(2x-4). O a) dx = = -5 sin(2x-4) о O b) ad ax O c) = 5 cos(2x-4) = -10 sin(2x…

A:

Q: (5x+sin3(4x) + sin(4x³)) dx

A: use differentiation for finding the solution.

Q: dy sin x + 3(y+x²) d.x

A: The solution of above differential equation is written below.

Q: A) в) (2х)5 . (Зу)5 c) (ба)6 (20)6 y°

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Which of the following is correct? dx dx 2 + C 3x 1 Arcsin* + C 2x { A} S = Arcsin: {C} f V4-9x2…

A: Option C is   correct Answer

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.