7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8. Integrate: S sin 3 x sin 6 xdx A. sin3 3x + C C.(sin 3 x –sin 9 x)+C B. (sin 3 x + cos 3 x) + C D. sin 3 x cos 9 x + C

Q: L(e-3t (2 cos 5t-3 sin 5t)) 20

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: 6. sec (sin-1 x)

A: Interconversion

Q: 1+cos2x 3. cotx sin 2x

A:

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: (종-272 27=) + ain G + 272) The simplified form of cos O V3 cos 27z + sin 27z V3 cos 27z + v2 sin 27z…

A: Given cosπ6-27x+sin(π3+27x)

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

A: The explanation of the solution is :

Q: Solve csc y dx + sec²x dy = 0 elect one: a 4cosy + 2x - sin2x = c O b. 4cosy + 2x + sin2x = c c.…

A:

Q: Prove the following trigonometric identities. 1 cotx a) 6 cosx| 6 cosx = 6sin² x COSX CSCX

A: The details solution is given below

Q: Differentiate Sin (m sin-1 x)

A:

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

A:

Q: dv Integrate 9 + v2

A:

Q: tan x dx sec x+4 cosx 5.

A:

Q: (tan 4x + sec 3x) dx

A: Answer is mentioned below

Q: Differentiate y = 5 sin(2x-4). O a) dx = = -5 sin(2x-4) о O b) ad ax O c) = 5 cos(2x-4) = -10 sin(2x…

A:

Q: dx Evaluate V- x² – 4x – 1

A:

Q: Evaluate f 4 csc (4x) tan (2x)dx О а. csc (2a) + C O b. cot (2x) +C О с. tan (2а) + C O d. sin (2x)…

A:

Q: B) y = -4 Sin ( 2x ) +4 b. a. 3m d. 144

A: We have to find

Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)

Q: 3 cos xdx 1-sinx

A:

Q: :: Evaluate: S sin 2x sin x dx 1/3 sin'x + c 1/3 sin'x +c 2/3 sin'x + c d. 2/3 sin'x +c a. с. b.

A: Given: ∫sin(2x)sin(x)dxWe know that sin(2x) =2sin(x)cos(x)Then…