S dx √1-x² O-√1-z² sin-¹ z²+z+C O-√1-² sin¹z+z+C O None of the choices O-In 1-2² | sin¹2² +2+C -1 O-In 1-2² | sin ¹2+2+C < Previous x sin-1 *

Q: cosh 1+j T 2 * T sin 1-j- 2

A:

Q: ng a trig substitation, the integral (A) / sec(0) do dr can be transformed into one of the

A: Please refer to the image below

Q: (a) [(0.6e15 + 4t 3t² +03-10-01 at 4t4-3t3 + 0.3 _10t 1.5 -0.1 2t3 (b) Evaluate…

A:

Q: If n is an odd natural number prove that I =, xsinnx dx = sinx 2.

A: Consider the given: It is given that n is an odd natural number, Take n = 1,Substituting n=1 and…

Q: a 1 - x²) cos(nx) dx F(x 一九 4 sin(nл) — 4nл соs(nл) — 2n²л² sin(n) πη3

A:

Q: + tan dy 37 Ify = tan -1 -1 1 2 x +5x+7 1 2 1 2 1 2 x² + x + 1 +... to n term.

A:

Q: Evaluate cos x + 2 cos x +1 dx sin' x sin x 主x+c sin 主tC 3 sin x cos x COS X + x +c cos xsin X 3 COs…

A:

Q: Evaluate the following integral (sinx- cosx) xp- (cosx+sinx) Select one: O tanx- cotx+C O…

A: Given that  The integral is  To find the value of integral

Q: tan-¹ (sin) 0 - 4 O Оп 0-1/2

A: we know  that  sin(π2)=1let  y=tan-1(sinπ2)

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

A:

Q: EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12

A: We have to evaluate  ∫x2x2 + 144 dx. We know,  ∫1x2+a2dx = 1atan-1xa + C      (where C is constant…

Q: Find 1+sin -cos I COS In | sin - z+cos In In 1+tan +C +C +C +C

A: We can evaluate the given integral by using the substitution u = tan (x/2).

Q: Find all of the solutions of sinxcosx -글 1 sinx + cosx %3D - 2.

A: NOTE: Refresh your page if you can't see any equations. . factor out

Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

A:

Q: Choose true or false of the following 1- S, x? = 1 2 %3D 3 2- J sin x dx = 2 3- Se* X² dx = xeX + c…

A:

Q: Prove by mathematical induction that, for every positive integer », 2-(x sinx)=(-1)-1(xcosx + (2n-1)…

A: I  have given handwritten solution of the above problem. See below steps.

Q: Evaluate s 2°ds Oa 2 (sln2-1) (In2)2 2" In2 Oc sin2-1) (In2)2

A:

Q: Evaluate L{3(sin² 2t )} 24 24 24s 24 а) s(s² + 4) b) d) s(s² + 16) s(s² + 16) s(s² – 16) a O Option…

A:

Q: dv Integrate 9 + v2

A:

Q: Find L{10) } s(s²+16) 1+cos(4t) 16 1-cos(4t) 4. 1-cos(4t) 16 1+sin(4t) 4 1-sin(4t) 16

A:

Q: sin -1

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: (8) If fCx) = 3x*- +4X +1, Sind

A:

Q: QI: Choose the correct answer 1) f(3e*r - 6 sin(3x) + 10cse (2x)) dx = A)e - 2 cos(3x) + 5tan(2r) +C…

A:

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

A:

Q: L{3e' sin(5t)} 15 +25 52+25 (8-1) +25 15 $2 28+26

A:

Q: fa 79 COS nX COs mxdx

A: 2CC=C+C2cos nx cosmx          =cosx(n+m)+cosx(n-m)I=∫02π cosnx cosmx  dxI=12∫02πcosx(n+m)+cosx(n-m)…

Q: 2 sin 0 + sin 2 0 =0 with 0degrees

A: To solve:2sin0+sin20=0

Q: Compute sin (3r)dr (25z4+1)2 -

A:

Q: Sz sin?m-10 cos2n-10 = – B(m,n) В (т,п)

A: