sin(x)cos(2x)sin(3x) dx o sin(3x)cos(3x) sin(2x)cos(2x) sin(2x) + C 4 12 8 8 sin(6x) sin(2x) sin(2x)cos(4x) 24 8 8 + C 4 sin(3x)cos(3x), sin(2x) {cos(2x) – 1]+ * + C 12 8 4 sin(6x) 24 sin(2x)cos(2x) X+C sin(2x) 8 8

Q: S d.x √9-4x²

A:

Q: cos( - x) = O sin( - x) O cos( + x) cos( - x) sin( + x)

A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: sin(x)cos(2x)sin(3x) dx D sin(6x) sin(2x) sin(2x)cos(4x) + + ++ C 24 8 sin(3x)cos(3x) 12…

A:

Q: P H2) = 3 (13) flx)- Sin () (x3-3x6x-8) 1. (15) Cos x %3D f66)=Sinx. +cosx 18 sinseti (19) 20)…

A: (1)f(x)=3xAs we know that domain is the set of possible input values shown on the x axiswhile range…

Q: If /n= ( 5x + 9 )" sinx dx , Then I,+25n(n-1) In-2=. Select one: O - ( 5x + 9 )" cosx + 5n ( 5x + 9…

A:

Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

A:

Q: If e/2i -/2i = sin2 then z = - 2i In(sin2) – 4kn 2i In(sin2)+ 4kT - 2i In(sin2) + 4kTt

A: Given: e-z2i=sin2

Q: Give four angles in radians where y =tan(x) has vertical asymptotes.

A:

Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 + 8 8 sin(3x)cos(3x) , sin(2x)cos(2x)…

A: We need to evaluate integral.

Q: In * (X+2)7 (x+2)7

A: Note Hello experts!!! As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: [sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x); [cos(2x) – 1]+ +C + 12 8 4 sin(3x)cos(3x)…

A:

Q: sin(4x) cos(2x) dx = cos (2x) cos (6x)' sin (2x) cos (2x) сов (10х) 4. (2x) sin (10x)+ c sin +c 10…

A: Use formula 2sinAcosB=sin(A+B)+sin(A-B)

Q: (3) csc (3x) dx = A) In csc (3x) + cot (3x)| + C C)-In |csc (3x) - cot (3x)| + C B) - In |csc (3x) +…

A: We will solve this question by substituting the value of 3x.

Q: Evaluate / 3 x sin(x)dx 03 (sin(x) – x cos(x)) + c Osin(x) – x cos(x) + c 03 x sin(x) + 3 cos(x) + c…

A:

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

A:

Q: 0 1 (b) sin 3

A: To determine the value of the theta.

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: XV3X-4 V3x-4 +C tan 3x-4 +C sin' 2 tan 3x-4 +C sin 3x-4+ C None V3x=4 tan +C 2

A:

Q: Evaluate / 11 x cos(x)dx O11 sin(x) + 11 x cos(x) + c Oc – 11 (x sin(x) + cos(x)) Ox sin(x) – 11…

A: Topic- Integration

Q: S cos(3r)(sin(3x) +5)10 dz Select one: (sin(3z)+5)" 11 +C O (sin(3r) + 5)"+C (sin(37)+5)" 33 +C…

A: Consider the integral: I=∫cos3xsin3x+510dx……1

Q: Evaluate f dx V4 √4x²

A: This we directly computed by the rule of integration that is there is no any dificulty to find the…

Q: 1) - 3dx 2) (2-3x)² dx 3) x sin (2x2 - 1) dx (2x-3)2 4) sin3x cos² 3x dx

A: Step 1:Step 2: Step 3: Step 4:

Q: 1 sin(x) (D²+1)³

A:

Q: 1. ſ X (2x-5)² (3-4x) dx.

A: Solution: ∫x(2x-5)2(3-4x)dx Take the partial fraction ∫398(2x-5)-514(2x-5)2-349(4x-3)dx

Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

A:

Q: Ssin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x) SinZx [cos(2x) – 1]+ 8 * + C + 12 sin(3x)cos(3x),…

A:

Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

A:

Q: (b) Verify that f(x) = 2 cos(x) sin(1x). f(x) = sin(6x) + sin(7x) = 2 sin = 2 sin 6x + N 2 X COS 6x…

A: Given