Watch the video on the integral of 1/(9-x^2) e before answering t What substitution could you make to compute da V3-a2 O x = 3 sin 0 O x = 3 cos 0 O x = V3 tan 0 Or = V3 cos 0

Q: Evaluate: 2x +tan 2x 1/3 COS ,2 1+x? 1-x2 dx. e* +1 -1/3

A:

Q: By expressing the product as a sum, 2cos(3x)cos(4x)= ?

A:

Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

A:

Q: Integral: Evaluate -2 sin 2x xp= V9+ cos² 2x

A:

Q: 6z* cos (r*) dr-

A:

Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: Verify the identity sec-1 x = cos-1(1/x), for x ≠ 0.

A: According to the question, we have to verify the identity sec-1x=cos-11x. As the above function is…

Q: What substitution should be used to solve the integral S O sin u=3x/2 O sec u =2x/3 O sec u =3x/2 O…

A: Evaluate the integral by using substitution method

Q: 4 sin (2x) dx cos (2x)t4

A:

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

A:

Q: ution t= tan 2 tan). os(x)

A: We have to choose the correct answer from the given option

Q: t[ ( j ) ( f 3 sin Ꮎ cos2/3 Ꮎ dᎾ

A:

Q: Compute*cos(Inx)dx. 1 A.-—-e (cos1-sin1) - 2 2 1 B.- e 1 C.-e TT 1 2 e

A:

Q: 15(- + 16.5 2 = 15 cos 15 + 16.5 = 15 cos y = y = |

A: The first function is: y=15cosπ15t-π2+16.5 Second function is: y=15cosπ15t-152+16.5

Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v > 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

Q: 1 sin x + 2 cos x + 3

A:

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A: