*

*
*

*

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Use the form of the definition of the integral provided in organize 4 to advice the integral. 0 votes

Use the type of the definition of the integral provided in to organize 4 to advice the integral.

You are watching: Use the form of the definition of the integral given in the theorem to evaluate the integral.

definition-of-definite-integralaskedJan 23, 2015in CALCULUSby anonymous
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Step 1:

The integral expression is

*
.

Using organize :

If

*
is integrable on
*
, climate
*
.

Where

*
.

The integral expression is

*
.

Here

*
and
*
.

*

*

Substitute

*
in
*
.

*
.

Step 2:

*

*
( due to the fact that
*
)

*

Sum of very first

*
organic numbers is
*
.

Sum the the squares of an initial

*
herbal numbers is
*
.

Simplify the expression.

*

*
.

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Solution :

*
.

answeredJan 23, 2015by josephApprenticeeditedJan 23, 2015by joseph you re welcome log in or register to add a comment. connected questionsUse Green’s to organize to evaluate the line integral follow me the given positively oriented curve.askedFeb 18, 2015in CALCULUSby anonymousgreens-theoremline-integrals use Green"s organize to evaluate the heat integral.askedFeb 19, 2015in CALCULUSby anonymousgreens-theoremline-integrals Please use the properties of summation and also theorem 4.2 to advice the amount 10sigma i=1 (i^2-1)askedApr 16, 2016in CALCULUSby anonymousproperties-of-summation-integrationsigma-notation Use definition 2 to find an expression because that the area under the graph that f together a limit. Carry out not advice the limit.askedJan 23, 2015in CALCULUSby anonymousdefinite-integralarea-under-curve use formal meaning of the border to evaluateaskedApr 16, 2013in CALCULUSby chrisgirlApprenticedefinite-integral usage Stoke"s theorem to evaluate ∫c F *dr. In each situation C is oriented counterclockwiseaskedDec 13, 2014in CALCULUSby anonymousline-integral usage DeMoivre’s theorem to uncover the indicated power that the facility number. Compose the result in typical form.askedJan 27, 2015in TRIGONOMETRYby anonymouscomplex-numbersdemoivres-theorem use the given transformation to advice the integral.askedFeb 18, 2015in CALCULUSby anonymousmultiple-integralschange-of-variables-jacobians use a graphing utility to advice the integral. Graph the region whose area is provided by the definite integral.askedJan 27, 2015in CALCULUSby anonymousindefinite-integralgraphing-utility usage Green’s to organize to evaluate (Check the orientation of the curve before using the theorem.)askedFeb 18, 2015in CALCULUSby anonymousgreens-theoremline-integrals usage the properties of summation and Theorem to evaluate the sum.askedJan 26, 2015in CALCULUSby anonymousproperties-of-summation-integrationsigma-notation usage the intermediate value theorem to show that the polynomial role has a zero in the provided intervalaskedSep 1, 2014in ALGEBRA 2by anonymousroots-of-polynomials usage the number to create the expression in algebraic kind given y = arccos x, wherein 0 askedFeb 2, 2015in CALCULUSby anonymousinverse-trigonometric-functions usage the error formulas to calculation the errors in approximating the integral, v n = 4askedJan 27, 2015in CALCULUSby anonymousestimation-of-errorstrapezoidal-rulesimpsons-rule usage the divergence Theorem come evaluateaskedFeb 19, 2015in CALCULUSby anonymoussurface-integralstriple-integralsdivergence-theorem evaluate the identify integral by the limit definition.askedJan 26, 2015in CALCULUSby anonymousdefinite-integrallimit-definition use the Comparison organize to identify whether the integral is convergent or divergent.askedJan 29, 2015in CALCULUSby anonymousconvergent-divergentcomparison-theorem usage the indicated change of variables to evaluate the twin integral.askedFeb 18, 2015in CALCULUSby anonymousmultiple-integralschange-of-variables-jacobians evaluate the identify integral the the trigonometric function. Usage a graphing energy to verify her result.askedJan 26, 2015in CALCULUSby anonymousdefinite-integraltrigonometric-functions evaluate the identify integral that the algebraic function. Usage a graphing utility to verify your result.askedJan 26, 2015in CALCULUSby anonymousdefinite-integral