cot A - sin Á dA sin2A

Q: Evaluate the following integrals. (a) / (sin æ)(tan²r + csc², x) dx

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: Se*cos2x dx

A: We have to evaluate the integral ∫ex cos(2x) dx.   Integration by parts : ∫u·v dx = u·∫v dx -…

Q: •T/4 (sin x + sin x cos x) dx Jo

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Q: Evaluate the following integral sin*(2x)dx 52

A: Consider the integral: ∫2π5π2sin42xdx

Q: Evaluate the following integral: ( a ) |sin? xcos“ xdx 4

A: Topic - Integration

Q: Evaluate the following definite integral sin(3t) dt.

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Q: Evaluate the following integrals: (a) /sin°(2) dr tan (3r) dr (e) in

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Q: Evaluate the following integral: sin²(a) da

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Q: Evaluate the following integrals. Where appropriate, give exact answers, not decimal approximations.…

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Q: Evaluate the following integrals. Jo cos?

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Q: Evaluate the following integral sin y dyde.

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: sin (20) cos (20)de

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: a) Evaluate the following integrals: eta TT/2 sin5e do tan 0 + tam30

A: ∫0π/2sin5θtanθ+tan3θdθ=substitute…

Q: sin? 0 + cos? 0 do cos e

A: ∫sin2θ+cos2θcosθ dθ

Q: Cos O do 25 — 16 cos? 0

A: I=∫0πcosθdθ25-16cos2θ

Q: Evaluate the following integral sin(2z) dr.

A: Given query is to find the value of the integration.

Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: Evaluate the following integrals. (a) / ( + 3x) sin(z)da

A: a) The given integral ∫x2+3xsinxdx Use integration by parts, let 1st function be x2+3x and the 2nd…

Q: Evaluate the following double integral sin (y) dydr

A: To evaluate the integral

Q: Evaluate the following integral using trigonometric substitution. dt t?/289 – t?

A: Using Trigonometric Substitute t= 17 sin(u),

Q: 2 sin e r cos? 0 dr de

A: The integral is evaluation is explained below.

Q: Find the following integral. | tan? x sec* x dx

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Q: sin( x)da 14.

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Q: Evaluate the following integrals. 4 (a) (cot? 0 + csc? 0 sin 20) d0

A: definate integration

Q: Evaluate the following integral: 1 do tan? 0

A: Let given integral is equal to I

Q: Evaluate the following integral sin^2(x)cos(x)dx show all work

A: To calculate the integral of function sin2(x)cos(x). Now, integrate the provided function by using…

Q: Evaluate the following integral sin x cos x dx

A: The given integral is It can be written as

Q: sin x+cosx dx sin x-cosx vi.

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Q: evaluate the following definite integrals : a) tan? * dx

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Q: Evaluate the following integrals.

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Q: Evaluate the following integral using trigonometric substitution. /196 – x² dx [/196 - x² dx =| vact…

A: Explanation of the answer is as follows

Q: tan a In(sec a)da

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Q: S csc?0cot0(1 + 3 co te)ede

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Q: Evaluate the following integral

A: Consider the given integral

Q: Evaluate the following integrals.

A: Given: The integral ∫sinxcos2x+cosxdx To evaluate: The given integral.

Q: csc x cot x dx

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Q: Evaluate the following integral using trigonometric substitution. хах Vx2– x – 1 а.

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Q: Determine the following integral to the trigonometric form: a. ſ tan 3x sec+ 3xdx

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Q: sin x dax. ) cosa x

A: The given integral is ∫sinxcos2xdx. Let u=cosx, then du=-sinxdx. Substitute u=cosx and du=-sinxdx in…

Q: Coso oxdox Sin?xcos? ad

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Q: L sin-1 x dx

A: We need to calculate the integral: ∫01sin-1x dx This can be done as follows:

Q: Evaluate the following integrals /8+tan x dx 1-sin?x i.

A: Note few things.

Q: Evaluate the integral. sin?(t) cos“(t) dt

A: Given integral is ∫0π5sin2(t)cos4(t)dt=58∫0π4sin2(t)cos2(t)2cos2(t)dt We know that…

Q: Evaluate the following integral I = sinh r da %3D O a. 1 O b. does not exist

A: Integration of the integrand function helps to integrate the function. Substitution of the…

Q: Evaluate the following integral using trigonometric substitution. S- dx 2 441-x

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Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da.…

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Q: Evaluate the following integrals using the powers of trigonometric functions cos³ xdx sin4x

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Q: [sin(In x) + cos(In x)] dx 2.

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