The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x O sec² z | O2 csc 2x cot 2x none of the choices

Q: Show that J (x) = 2 sin x

A: By definition,                  . Now,  we need to prove the above statement by taking n = 1/2.

Q: Evaluate /(sin x)² (sec x)-3 dx. Select one: a. sin x – cos x + C - b. csc x + cos x + C C. None of…

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Q: The function y = 2x – cos x have two variables (x and y), these variables called

A: Here, the given equation is y=2x-cosx , which is a function of two variables(x and y). The name of…

Q: Prove: sin (2 cosx) = 2x1-x

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Q: Evaluate sin dx

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Q: sin – is equal to I- cose A I+ cose B sin I+ cose I+ cose D 1-cos

A: We know the half angle formula of trignometric functions

Q: dy Find dif sin x + 2 cos 2y) = 1 dx

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Q: 4, 8 sec3x tan5x dx

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Q: Evaluate: sin-l z = - cos™(-3+j5) O -5.074-j2.957 -5.074-j2.957 D-5.074+j2.957 5.074+j2.957

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Q: sin(tan x) cos²x Evaluate ·[³ dx.

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Q: cos x sin x = csc 2x cos 3x sec 2x

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Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: Find where w= cos z - cos x cos 2y + sin x sin 2y and z x+2y. Me.

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Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx