appropriate formula for 9. What is the f sin7 x cos x dx ? A) sin x cos x dx | cscx cosx dx B) C) Ju"du) [ csc²x dx D) 10. What is the f sin 3x dx?? A) - cos 3x B) -cos 3x C) -3 cos 3x D) 3 cos 3x

Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: c) Si [V£ tan-1[VF ] + Jdx x+Vx²+3]

A:

Q: Find sin(a) and cos(3), tan(a) and cot(3), and sec(a) and csc(B). (a) sin(a) and cos(B) X (b) tan(a)…

A:

Q: liu cos? (x) 1- sin (x)

A: Formula used: Sin2x + cos2x = 1 a2 - b2 = (a - b)(a + b)

Q: 1.) xyax ^)/√²-1²) dx + (x² - 2xy) dy = 0

A: Given : x2-y2dx+x2-2xydy=0 To Check : Differential equation is exact or not

Q: Find f'x) usig the denivative rules, f (x) = 2 Sinx - COSX + tan X

A:

Q: 10 - The value of x²J₁(x) x³ J(x) dx is. x-0 a) 8 (2) b) 81₁(2) c) 8/₂ (2) d. 8], (2)

A: To express: J4x  in terms of J0x and J1x Bessel's function: Jnx=∑r=0∞-1rx2n+2r1Γn+r+1 r! Series…

Q: So sin' z cos²z dr csc? z

A:

Q: Statement cotx (sec²x - 1) = = = cosx -(sec²x - 1) sinx cosx sinx cosx sinx sinx COS.X = tant…

A:

Q: c) lime**sin.x =

A: Limx-infinity sinx

Q: VI. Find the exact value of the expresssion: a) cos(sin=1) b) tan(sin¬'#)

A:

Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

A:

Q: not use ai please

A: ANSWER : 24 ​​ STEP 1 ​​  STEP 2 ​​ STEP 3 ​​  STEP 4 ​​

Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: 11) cos x csc X tan x - 1 11) 12) cos2x - sin2x = 1 - 2 sin²x 12)

A:

Q: Please help me answer the question. Thanks!

A: Given,

Q: What is the range of 3 sin(4x + II)+ 2 ? O -3, 2] O (-3, 3] O -1, 5] O (-1, 3]

A:

Q: 1 Find L -1 s²+4s+8] A)늘e-2t sin 2t B)- e2t cos 2t c)e-t sin 4t D) e2t cos 4t

A: Formula Used:L{eat sin(bt)}=b(s-a)2+b2

Q: 7. Evaluate tan'(sin 5).

A:

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

A: