Solve Integral 4 different ways . S sin θ cos θ dθ

Q: cos ydy sin2y+5sny+6

A: To evaluate: ∫0π2cosysin2y+5siny+6dy Solution: Let substitute t=siny dtdy=cosydt=cosy dy Limit will…

Q: S sin? (x)cos(x)dx

A: Let the given integral be y - y = ∫sin2(x)cos(x)dxLett = sinxdtdx = cosxdt = cosxdxSubstituting…

Q: | (6x + 4) cos(3x +2) dx COS

A: Solving the given integral.

Q: (a) J sin (x²) x7/2 dx

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Q: If 8 (x) = sinx dx and g =3, then g (0) is equal to 2 A 4 B 1 -2 D

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Q: Evaluate Sz cos“ x sin? x dx

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Q: S cos³ x sin? x dx

A: Let, I = ∫cos3xsin2xdx ⇒I = ∫cosxcos2xsin2xdx ⇒I = ∫cosx1-sin2xsin2xdx ⇒I = ∫sin2x-sin4xcosdx

Q: Solve 2 sin x +1= 0 for X, where 0 < x < 360°. %3D o 120°, 240° O 210°, 330° o 30°, 150° O 210°

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Q: 6. f cos¹ 2 xdx

A: Given,  ∫ cos7 2xdx

Q: Solve the following integral step by step senx -dx ex

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Q: If 8 (x) = | sinx dx and g| |=3, then g (0) is equal to A 2 -2 D 4 B.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: ff(x) = 2 cos x + sin 2x on

A: Absolute minimum and maximum value

Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: Solve f (cosh 4x + sinh 2x) dx then evaluate the answer at x=-7 and C=33

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Q: 0 sin 0 Find if y %3| Vsec 0 de

A: We have to find the dydθ of the given function   the given function is y=θsinθsecθ

Q: (40 sin (x) – 39 cos (x)) dx =

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Q: π 2 EK 4 cot4 x dx

A: Here, note that: ∫cot4x dx=∫cot2x cot2x dx=∫(cosec2x-1) cot2x dx=∫cosec2x cot2x dx-∫cot2x…

Q: 5. Sx? cos 6x3 dx %3D

A: We have to evaluate the given integral by using theorems of antidifferentiation.

Q: Solve sin (x) + sin(x) = 0 on [0, 27]

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Q: S sin 2xcos5dx

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Q: TI 37t y = In(sin x), 4' 4

A: Given,         y=lnsinx , π4,3π4

Q: n/2 „sinx dx=? cos x esinx dx=?

A: Solution...

Q: 2 sin (x) dz 4 cos? (x) + 2 cos (x)

A: The given integral is ∫-2sinx4cos2x+2cosxdx. Determine the value of integral by using partial…

Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: lima sin(1/x) x→0

A: Using squeeze theorem

Q: 1/4 S (2 + sec)? dx

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: S d0 cosh 0 + sinh

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Q: sin x (cos x + 4) dx 1+cos?x

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Q: find d^2/dx^2(sinx+cosx)

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Q: The value of cos jn is equal to O a. sinh 7 O b. jcosh 7 Oc jsinh 7 O d. cosh 7

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Q: Steps S 10sin(2x)cos(2x)V cos (2x) – 5 dx

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Q: fan? 2 3 sin n x cos xdx

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Q: sin' cos )d» 4х. 4x, 8

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Q: S(sin2z – 3cos2z)°dz

A: Here, (sin 2z-3cos 2z)2 =sin22z-6sin 2zcos 2z+9cos22z=sin22z+cos22z-3(2sin 2zcos 2z)+8cos22z=1-3sin…

Q: Integrate: SO sin(50)d0

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Q: S( tan + cot )2 dx. | 3 3

A: We will simplify integrant using trigonometric identities

Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abdx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Simpson's 38 rule:…

Q: 3. "sin 2x dx [²sti answer: dx answer: 2+4

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Q: 6 ven cos a = wh 15'

A: Use inverse trigonometric ratio

Q: 4. S cot63x dx de 5.55 sin

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Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A: The given equation is cosh2x+coshx=5. Calculate the solution of x to three decimal places.   Here we…

Q: Sinh メニ 2o COSN メー? Secnx =? tan h X=? Cotn X =?

A: Given, sinh x = 2099  We have to find cosh x,  sech x, tanh x , csch x  and  coth x.

Q: d 53. cosh? (9 – 31) = –6 cosh(9 – 3t) sinh(9 – 3t) dt

A: Given derivative is ddtcosh29-3t.

Q: calculate the integral.

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Q: S(sech²(cosh3Ø)sinhø dø

A: According to question given :∫(sech2cosh3ϕsinhϕ dϕ

Q: 1. S 2x sin-1 x? dx.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the value of b so that (2x – 1)dx = 10 O 1 O 4 O 2 3

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Q: Find Se2" sin(2x)dæ

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Q: 3 sin x d.x 4 1. Show that

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