Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c) x3 sec + 5x4 sec x³ sin 5x cos x + 3x sin2 5x

Q: S(csc x cot x + 9x°)dx Csc x + x° +c - sec x + x³ +c | CSc x + x9 - sin x + x³ +c sec x + r9 + c

A:

Q: Sketch the following (without using calculator) and find their domains and ranges. (1) y = cotx (2)…

A:

Q: 6. sec (sin-1 x)

A: Interconversion

Q: cos x | = -dx =? 2 cos x+ sin x+3

A: Integral.

Q: *T/4 sec² xdx 26. 27. sin xdx TT 28. COS xdx

A:

Q: 11. cos4x-cos2 dx sin4x-cos2x

A:

Q: cos-1 3x dx 1- 9x2 3

A: Answer

Q: Se-*cos(5x) dx

A: Given : ∫ e−xcos(5x)dx

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: cos x- sin dx 1- sin 2x

A:

Q: sin 2x V2 – cos 2x dx

A:

Q: d (x2+2x)(sin(x)+5) 7. Find: dx Зx+2

A: To find:

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: sin x = csc 2x cos x cos 3x sec 2x

A:

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

A:

Q: If y = sin 2x sin 3x sin 4x then find y".

A:

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫…

Q: 8. Find if y (sin x + cos x) sec x dx

A: