5. Use substitution to find S sin1º0 cos 0 d0.

Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

A: The solution for the above question is as shown below.

Q: 1 2. Evaluate =dx using the trigonometric substitution x= 2 tan0. 2 Vx + 4

A: As per honor code, we will answer the first question for you. Please submit the other as a separate…

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A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

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A: ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

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A:

Q: -Tt/2 S 3 sin 0 + 5 cos0 d0 -t/2

A:

Q: -T/4 sin x 1+cos²x

A:

Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

A:

Q: dx Evaluate 6ex cos (3e X) O 2 [In |sec(3e-x) + tan(3e-)|] +C [In |sec(3e-) – tan(3e-|] + C 1 In…

A:

Q: Find: O d: x-6,X-1 dy 3 23=Sin (cos 8x)

A: 1 .y=45x3-6x2+x2-12. y=sin(cos(8x))

Q: Suppose m and n are constants and m #n. Evaluate [sin (mx) cos (nx) dx.

A:

Q: ) Use Euler's formulas to calculate | cos(ax) sin(bæ)dx for a > 0 and b > 0.

A:

Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18…

A:

Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

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A: Find the derivatives of the given functions. Use the derivative formulas:…

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

A:

Q: How do you solve this and can you show me step by step?

A: Given equation is

Q: We already know we can do the following problem using u-substitution, with u sin (-5z) cos(-5z) dz

A:

Q: Find L(sin 2t cos 2t) inned with CamScanner

A:

Q: Eliminate the parameter: x = cos3 t and y = sin3 t.

A: Given: x=cos3t                                               ..1y=sin3t…

Q: 5. f sin$22x cos22x dx

A: The given integral is  ∫ sin522x·cos222x dx

Q: find 0 2 Cos ☺ t 2= 3

A:

Q: 5. (D² + 16)y = 24 cos 4x – 32 sin 4x

A:

Q: 16. Determine So sin x cos x dx

A: First simplify then integrate

Q: Evaluating ³√9-x² dx using trigonometric substitution will lead to: 15/2 A cos²0d0 B 18 cos²0d0…

A:

Q: Q5. If x= a.sin 0 and y = b.Cos 0. Eliminate 0.

A:

Q: Solve the equation for x if0< x < 2n. 27. 3 cos(2x) – 9 sin r Preview

A: As we know cos 2x = 1 - 2 sin2 x For quadratic equation,  ax2 + bx + c =0 , We have to use quadratic…

Q: find dy for ee Sin (メ+34) dx

A:

Q: find dr/ ds r cos 2s + sin2 s = π

A: It is given that,r cos2s+sin2s=πWe have to find drds

Q: 2) Find the exact simplified value of tan 2, () 3m sin 0 where n s0<4 2.

A: Given

Q: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

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Q: Se sin 4m Cos 4mdm (3)

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Q: Evaluate: [e* 1+ sin 2x dx 1+ cos 2x

A: Topic:- Integration

Q: sin (mx) cos(nx) dx

A:

Q: T/4 sin2 x 2. :- cos? dx CoS2 COS x 7/4

A: To find the value of the given integral.

Q: Integrate x cos(2x^2+7) dx. Select the correct response: O sin (2x^2+ 7) + C

A: Integrate using substitution method.

Q: S cos(nt)dt

A:

Q: Suppose m and n are constants and m n. Evaluate sin(mx) cos(nx) dx

A:

Q: t/2 SL cosx/1+ cos²xdxdy is equal to 0, siny

A: Consider the iterated integral, ∫ab∫f1xf2xfx,ydydx In this iterated integral, the integration is…

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Q: Find S(sin20cose + cos30)d0

A:

Q: Integrate the following: 2х-1 a) 3x-2 d) /sin? (3x) cos' (3x)dx | cos* (5x)dx 4. g)

A: (a) Consider the given integral as ∫2x-13x-23dx. Evaluate the above integral as follows:…

Q: B) Find and It x sin 3z and y= tan 3z dx

A: x=sin23xy=tan 3xWe need to find dydx and d2ydx2.

Q: 5TT i sin' cos*dx 4x. 4x, 8. 5

A:

Q: da (cos ( 3x) sin( 2æ)) dæ

A:

Q: Integrate the followings sin cos dx cos - 4

A:

Q: Given: cos(cos2x) sin2x dx Find: du O 2sin2x dx -2sin2x dx O -2cos2x dx 2cos2x dx

A: Given that ∫cos cos 2x sin 2x dx  -(i)Our Aim is to find the value of du=?