Evaluate the following integral: 1 do tan? 0

Q: Evaluate the integral from pi/6 to pi/3: ∫csc3x dx

A: ∫π6π3csc3(x)∫π6π3csc2(x) csc(x)dx Apply integration by parts formula Let u=csc(x) du=-cotx csc(x)…

Q: Find the integral by using substitution: S(2sec?x) (tan(x) +3)dx

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Q: 5. dx

A: Given integral ∫-234x36-2x3dx The objective is to evaluate the integral.

Q: What is the integral of csc^3 x cot^3 x?

A: Let,

Q: Evaluate the following integral using trigonometric substitution. 5x? dx (81 + x)?

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Q: 2 tan? dæ

A: To find following integralI=∫0π22tan2x2dx

Q: Evaluate the following integral using trigonometric substitution.

A: Consider the given integral

Q: Evaluate the following integrals. Jo cos?

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Q: Evaluate the following integral using trigonometric substitution. 1 2 dx 3 - (4x +1 )

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Q: Evaluate the integral, if it exists.    ∫ Sin π t  cos πtdt

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Q: sin (20) cos (20)de

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

Q: Evaluate the following integral using trigonometric substitution. 7x dx (36 + x²)?

A: Then we integrate by substitution

Q: Find the following indefinite integrals Vu+u du

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Q: Evaluate the following integral. tan x x sec 2x tan x sec x dx =

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Q: (d) / Arcsin r dz

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

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

Q: cot A - sin Á dA sin2A

A: The given integral is ∫cotA-sinAsin2AdA It can be re-written as…

Q: Evaluate the following integral using trigonometric substitution. dx (36 + x?)?

A:

Q: evaluate the integral from pi/4 to pi/2 of cot^5(x)csc^3(x)

A: Given,           The integral from π4 to π2 of cot5(x)csc3(x).

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 definite integral.

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Q: Evaluate the following integral using trigonometric substitution. 12-9 (x, x>3

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Q: sin (x²) + C

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Q: TT/4 0 tant di

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Q: cos° æ sin x dæ

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Q: Use substitution to evaluate the integral tan? x sec? x dx

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Q: Calculate the following integral. *If answering with a decimal, use 2 decimal places. Otherwise…

A: Solved below :)

Q: Evaluate the integral.

A: Consider the provided integral, ∫ etanxsec2xdx Evaluate the  provided integral. Apply the…

Q: Evaluate the integral. 39 sin(40) de

A: We follow the steps that are given in the solution to find the missing values.

Q: Evaluate the integral. | tan? (3x)sec“ (3x)dx 4

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Q: Find the following indefinite integrals Vu + u3 du

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Q: 1 xp= x² /x² + 25

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Q: * sin'x de 4.

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Q: Find the integral of the following: 1. tan(x)sec3(x) dx 2. csc4(x)cot5(x) dx

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Q: Evaluate the integral. sin(0) d0

A: This question is based on the concept of definite integrals . For integrating it first we have to…

Q: Evaluate the definite integral (et, et,1) dt

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Q: Evaluate the following integrals.

A: Our Aim is to integrate the following:-∫tan-1 (x3) dx

Q: Sin ーメス d.

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Q: Evaluate the indefinite integral, ſ cosh? x dx.

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Q: Evaluate the definite integral. i sec (18x) dx cot(18x)

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

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Q: arctan(3r) da =

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Q: Evaluate the following integrals.

A: To Determine: Evaluate the following integrals. Given: we have ∫tan7x sec4x dx Explanation: we have…

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: Evaluate the following integral or state that it diverges. 00 4 2 sec dx

A: Given

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: x² tan¬1 x d 72

A: Consider the integral: ∫x2tan-1x dx. Apply Integration by parts ∫uv'=uv-∫u'v. Let u=tan-1x and v'=x2…

Q: to

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