6. Vsin x sin 2xdx Vtan 4x 7. J cos² 4x 8. cos 2xsin 2.xdx |arctan(3 – x) - dx 9. 1+ (3-х)? 3e 2y 10. [ (5 – 4e ²» -dy

Q: 3 4) Find / sin (2x) cos (2x)dx

A:

Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

Q: 4)y = 2 sin (3x +) - 1

A: Given: y=2sin3x+π5-1

Q: 1. f cos³ (tan x) sec² x dx

A:

Q: Evaluate: 4S d sin(t?)dt dx x 3x²sin(x“) – sin(x²) b. 2x°cos(x°) – 2xcos(x²) a. 3x²cos(x^) – cos(x²)…

A:

Q: IV. 4x + 2 dx x² + x + 5 V. 2x – 1 dx x² – 7x + 10 VI. | sin(3x) cos(5x) dr

A:

Q: 1 [In(3x)] S (* -5x+2)e*dx

A: solution is given below

Q: 2 १ sin (3x) cos² (5x) d>

A: The integral we are trying to solve is ∫2 sin(3x) cos²(5x) dx. This is a complex integral involving…

Q: 2e3* sin 2x dx

A:

Q: 1. x2 cos 2x dx

A: The given integral is: ∫x2cos 2x dx