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

A:

Q: Find the value of x  sin2x=sin600cos300-cos600sin300

A: Given,           sin2x=sin60°cos30°-cos60°sin30°

Q: S sin5 3 x cos' 3 xdx

A:

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

A:

Q: • T/2 (3 + 7 cos³ x) sin? x dx

A:

Q: The term 0.5(1-cos2x) is equal to

A: Given,          The term is 0.51-cos2x .

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

A:

Q: 3- Sin4x dx S 3-Sin4x dx ノo

A:

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?

A:

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

A:

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

A:

Q: /2 sin aVT-2 cos r dr /3

A: To find the given integration

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: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…