L {e-2 sin(2t) + e³¹12} L {(1+e-¹)2} L {tet cos(5t)}

Q: A-f cos (x)sin³(x)dx e*cosh (3x) B-J cosh(x)+sinh(x)

A: Here we use use substitution method to evaluate the given integral.

Q: sinh2 (등)

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Q: sin (7π/6) + cos (3π/2)

A: Given,

Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

Q: tan2(0) csc²(0) – 1 5) sec2 (0) sin (0)

A:

Q: Vhich of the following IS an identity? sin( – x) = cos(90° – x) 1 O tan( – x) cot(90° – x) O…

A: Identity is satisfied by each and every value of domain of a function and always holds.

Q: • 7/40 8000 sin (20x) Evaluate dx 7/60 1 – 2 cos (20x)

A: To evaluate: ∫π60π408000sin(20x)1-2cos(20x)dx...(1)

Q: 4x? )(i) Use the substitution x= tan e to show that sin? 20 dx. %3D (1+x*)' 4x2 (ii) Hence find in…

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Q: Solve the equation for 0 <0 < 2n cos(20) = - cos(0)

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Q: 7/3 [-8 cos() 7/3 8 sin(0) de : -8 cos 3. -) - (-8 cos(0)) - (-8)

A: We have to find the solution

Q: cos(x) = 3/6       3?/2 < x < 2? cos(x/2)=? sin(x/2)=? tan(x/2)=?

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Q: π/4 0 (tan x + (sin x) ecosx) dx

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Q: π/2 COS X 1 + sin² x dx

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Q: |12 sin(4x) cot(cos(4x)) dx

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Q: d(tan(x)) Using Euler’ formula, show that dx cos x 1.

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Q: 3 sin(0) = 8. find cot(0)

A: We will use trigonometric identity Sin2(x)+cos2(x)=1.

Q: csc(x)=3     0<x<pie/2  cos(x/2)=? sin(x/2)=? tan(x/2)=?

A: Given that: cscx=3,   0&lt;x&lt;π2

Q: (cos(20))(sin(0) + cos(8))ª de

A:

Q: Evaluate

A: b) Given sinπ6π6=π6×180ππ6=30°sinπ6=sin30°sin(π6)=12

Q: cos(In x) dx =? A 1/(sin 1) B sin 1 1/(cos 1) D sin(e)

A: Given integral can be evaluated as shown below

Q: sin(48) cos(48x) dæ : О576 O -2 O 2

A: We have to find the value of definite integral

Q: ху' %3D у (1 — х tan x) + x? cos х x) + x² COS X

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 8 cos5(α)/(sin(α))1/2 dα

A:

Q: Cπ/2 sin² 3x dx

A:

Q: Solve cos(2x) + cos(x) = -1

A: