ating / * sin (2x)cos(2x) dr by substitution, if u= sin(2x) th

Q: 11. cos4x-cos2 dx sin4x-cos2x

A:

Q: x – sin 2x -dx x + cos2x

A:

Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

A:

Q: sin(2w)dw =

A:

Q: /2 sin 2x dx Jo 3+cos (2x)

A:

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

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: sinx

A:

Q: Cos(10+x)

A: Here , We will apply the formula of Cos ( A+B) Cos(A+B) = [CosA CosB - SinA SinB ]

Q: eft co Evaluate cos² (9x) dx.

A:

Q: Evaluate sin (ax) (ax) V3 (2ах) da Cos

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Q: "/2 cost x dx "/4 sin6 x

A:

Q: Si cos°(3x)sin (3x) – cos (3x) sin°(3x) dx

A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

Q: verify sin2(x)+cos2(x)=1

A:

Q: 3 cos xdx 1-sinx

A:

Q: Ja (1 – sinx)3/2 (1+ sinx)²dx"

A: If , then the independent variable x is called the input of the function and the dependent variable…

Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given: