The definite integral sin24x cos2x dx is equivalent to x/2 (A -sin²0 cos²0 d0 2 x/2 В 2sin20 cos40 de © S : - sin20 cos20 d0 4 x/2 | 4sin20 cos4o do

Q: find integral of sin-4x

A: Given: -

Q: S sin5 3 x cos' 3 xdx

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Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

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Q: Integral: Evaluate -2 sin 2x xp= V9+ cos² 2x

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Q: 3- Sin4x dx S 3-Sin4x dx ノo

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Q: solve jn peaper

A: First, we need to identify the type of integral we are dealing with. The first integral is a product…

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

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Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

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Q: 4 sin (2x) dx cos (2x)t4

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Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: sin x (cos x + 4) dx 1+cos²x

A: SOLUTION-

Q: 3 8 cos²x + sin x - √√3 sin x cos x =

A: Formulas, sin2x + cos2x = 1sin2x = 1 - cos2x Given, 8cos3x + sin2x - 3sinxcosx = 1

Q: COS X dx 1-sin x

A:

Q: 4 dx 1– cos(4x)

A: Given that the integral ∫4 dx1 - cos 4x. Evaluate the given integral.           The formula used are…