4) Find the following by using the substitution z = tan D S 5 dt sint - cost cos e de ii) sin cos 0 + sin dx 1+ sin x + cos x ii) S₁ () method

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

Q: L(e-3t (2 cos 5t-3 sin 5t)) 20

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: S2 cos (w - Sec W tan (w) dw

A:

Q: csc(sec-1 2) + cos(tan-(-v3).

A: Given data:     The expression for the given function is: csc(sec-12)+cos(tan-1(-31⁄2).   The given…

Q: cos x | = -dx =? 2 cos x+ sin x+3

A: Integral.

Q: . Differentiate each function. a) y= cos'x b) y= sin(x³)

A:

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: S COS X sin x+sin³ x dx. (b) ſ sec²x tan x+4tan³ x dx.

A:

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…

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A:

Q: 1. A. f sin 2x cos 5x dx B. f cos 2x cos 3x dx c. ftan³x sec5x dx

A:

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

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

Q: Differentiate the following functions. Simplify and factor your answer where possible. a) f(x) = e2x…

A:

Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: Show that if y = V1 + sin x then sin x

A: We can solve it by doing derivative and make the proof.

Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

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

A:

Q: sec(2) tan(2) – 1 dz 3.

A:

Q: Choose true or false of the following 1- S, x? = 1 2 %3D 3 2- J sin x dx = 2 3- Se* X² dx = xeX + c…

A:

Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

A:

Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v > 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: 345 cos dx 1-cos24x+sin? 4x

A:

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

A:

Q: 1-) 2csc23x 1-S sec3xVsin3x

A:

Q: x.tan 2x - 2x.tan x pute Lt (1.cos 2x)

A:

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫…

Q: 3) cos-1x. dx

A:

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

A: