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

Q: T² 2 / (x + 1) (2² + 1) dr. Evaluate

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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: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

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Q: eXtan(e*) dx sec²(e*) – 7 2(, - 7

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Q: |5sin(4x + 5) sin(2x --) dx

A: We need to evaluate the given integral. We will use the formula  Cos(A+B)-Cos(A-B)=-2 SinA SinB

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: cos-1 3x dx 1- 9x2 3

A: Answer

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

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

Q: integrate (cos (x)/(sin(X)-cos(x))

A: Integration is a technique of finding a function  the derivative of which, , is equal to a given…

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: 1-S 1-sinx dx 1-sin?x -sin²x

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

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: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

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

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Q: u) sec(2-x)tan(2-x)dx

A: To evaluate ∫sec2-xtan2-xdx

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 +…

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

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Q: sec(2) tan(2) – 1 dz 3.

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Q: sec? (1/x) dx. 9: (16pts) Evaluate

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Q: Solve the equation (y - (cos x)^2)dx + (cos x) dy = 0

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Q: (Sin ² x - y) dx - tanx dy =o

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Q: 4 cos () dx 10. x³ sin3

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Q: sin(3x) %3D y(x) = 4+5cos(2x)

A: we have to derivative

Q: ● ftan(x) sec(x) dx

A: We will use substitute method to solve the integration

Q: / (cos(x) + Ex dx 4 +

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Q: cos 2 arctan X - 1 √x+1 /x+1/

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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.…