Evaluate the following integral tan(x)sec²(x) dx O a. C. - 113 53 1/3 d.

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Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use a Substitution

A: Given: I=∫12xx2-9-3dx for evaluating given integral, we substitute x2-9=t…

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A:

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A: To solve this integral, a certain substitution is done. The substitution of sin2x=u is taken and…

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A:

Q: Evaluate the following integral. J6 sin ³xcos 'x dx 6 sin °x cos 'x dx:

A:

Q: In(tan-1x) -dx 1+x?

A: Given,           ∫1+∞lntan-1x1+x2dx

Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

A:

Q: Evaluate the integral n/2 sin x cos x dx

A: This integral can be solved by the general formula of integration.   Integral ( 0 to Pi/2) sin^mx *…

Q: Evaluate the improper integral or show that it diverges. 16 tan-1 x dx 1+x² | 0.

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Q: Compute the indefinite integral. (5x +7 sec(x) tan(x))dx Answer: + C

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A: Given:  Let I=∫x-1sinπx dx To Find: To evaluate the given integral.

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

A:

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

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Q: Evaluate the indefinite integral.

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Q: evaluate the indefinite integral.

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Q: Evaluate the following integral. dx J secx-1 dx sec x-1 (Use C as the arbitrary constant.)

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Q: |-e+2 COS X 3 x- Sin x

A: Let,

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A: Given information:The given integral is

Q: 52. Use the substitution u = tan x to evaluate the integral dx 1+ sin? x

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Q: Evaluate the integral. sin dx 2 1-x

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Q: +oo So xe-dx = 1

A: Evaluate: ∫0∞xe-xdx Apply infinte integral property: ∫a∞fx dx=limx→∞∫axfx dx ∫a∞xe-xdx…

Q: Evaluate the integral.

A: We have to evaluate the integral: ∫1-sinxcosxdx We will use following special integration formula:…

Q: Compute the following integrals. (a) tan (x) sec°(x) dr. (b) sin (x) tan(x) dx. 2.

A: We have to find the following integral

Q: Evaluate the indefinite integral. (tan- x) dx = || 1+x?

A: Given integral is ∫tan-1x51+x2dx

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A: Given ∫sin6x dx We use sin2x=1-cos2x2cos2x=1+cos2x2

Q: Evaluate the definite integral. 1 6 cos(at/2) dt

A: Given:        ∫016cosπt2dt Taking constant out      =6∫01cosπt2dt substitute u=πt2…

Q: Evaluate the following integral. | 7x sin3 (x?) dx | 7x sin3 (x2) dx = (Type an integer or a…

A: The integration of the 7x sin3(x2) and the limit from 0 to √ (π/2).

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…

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A: We need to evaluate the integral:∫0π2tanx dx

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A: Given : ∫tan2tt2dt

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A: Given:∫1cosx+1 dx

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

A:

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A: Given integral, ∫-333+xdx

Q: Evaluate the integral, if it exists.

A: Given- ∫-11sinx1+x2dx To find- The value of the above integral. Concept Used- The above integral can…

Q: 2+ sin x dx. 3 - cos x

A: This question is about application integration

Q: Evaluate the following integrals. a)S sin 9+cos²0 de Coso x25-x2

A: see 2nd and 3rd or 4th step.

Q: +o0 In(tan -1 x) dx 1+x2 1

A:

Q: Evaluate the following integral: tan dx x2 b) (a/3 In(tan x) dx sin x cos x

A: Solved below

Q: Evaluate the definite integral. dx x(1+ In æ)

A: Explained below

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A:

Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

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Q: calculate the integral.

A:

Q: 3- Evaluate the integral sin(In x)dx

A: We have to use integration by parts 2 times here.

Q: 3) Evaluate the following integrals. a) | cos(tan(x)) sec (x) dx

A: Given that ∫cos(tanx) sec2x dx first let us simplify and then integrate

Q: Evaluate the following indefinite integral | 8 sin(x) – 2 cos(x) dx =

A: We have to find integral

Q: Evaluate the following integral. 8 sin 2x dx

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.