sin(2x) dx cos(2x)+5 2x dx V3x +1 4 sec2(2x) dx ! 3(1-tan 2x)

Q: S(csc x cot x + 9x°)dx Csc x + x° +c - sec x + x³ +c | CSc x + x9 - sin x + x³ +c sec x + r9 + c

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Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: eXtan(e*) dx sec²(e*) – 7 2(, - 7

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: sinhx dx 1+ coshx ) A 1+ coshx B (1+coshx)? (1+coshx)² D 1+ coshx

A: We have to find

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dx  this is the correct question sorry.

A: To find: the derivative of the below equation.

Q: S sin (2x – 1)cos (2x-1)dx (2х - 1)dx

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Q: Evaluate the following integrals -3.r/4 + 8a*]dx -3

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: y = x * (sin 1x)² – 2x + 2v1-x² * (sin-1x), Find dy dx

A: Given that equation of y and we find dy/dx. We know that d(sin-1x)/dx = 1/√1-x2. And d(xn)/dx =…

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

A: The explanation of the solution is :

Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: 4 sec 2x tan 2x dx (1+ sec 2x)²

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Q: sin (3x+1)dx 4 cos (3x+1) C

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Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: (tan V) (sec V) b) Evaluate dx

A: Given integral: I=∫tan4(x)sec2(x)xdx

Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

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Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

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Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

Q: x* + 4 dx : %3D 3

A:

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: What is tan-¹(2x²+1)³? dx 1 (2x² +1) +1 3(2x² + 1)² (2x² +1) +1 12x(2x² + 1)² (2x²+1)6+1 x²(2x² +…

A:

Q: | sec(/I) tan(/) dr

A: We need to solve integral.

Q: 2-f sinx(1-sinx)³ (1 + sinx)³ dx

A: An integration is provided. We have to solve it. To solve the integral, we will use substitution…

Q: 6. f tan x secx+4 cos x - dx

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Q: 4 cos () dx 10. x³ sin3

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Q: cot (7x+5). sin ( 3x+2) csc ( 7x+5) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (b) 1:16 tan5(x) sec²(x) dx

A: 1621​ or if you have needed in decimal form then you type 0.00617283 round as much you need.…

Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: Ssec? [sec(4x)tan(4x) dx (p sec (5x +3) dx e) f sin 3x + 1. dx 2x +4 f)

A: We will solve the following

Q: -1 sedx- cos(

A:

Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx