*

*
*

*

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Use the type of the definition of the integral offered in theorem 4 to advice the integral. 0 votes

Use the kind of the an interpretation of the integral provided in 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
please log in or it is registered to add a comment. you re welcome log in or it is registered to price this question. 1 prize 0 votes

Step 1:

The integral expression is

*
.

Using theorem :

If

*
is integrable on
*
, then
*
.

Where

*
.

The integral expression is

*
.

Here

*
and
*
.

*

*

Substitute

*
in
*
.

*
.

Step 2:

*

*
( since
*
)

*

Sum of very first

*
organic numbers is
*
.

Sum that the squares of very first

*
natural numbers is
*
.

Simplify the expression.

*

*
.

See more: Which Of The Following Is A Feature Of Aerobic Metabolism? ?

Solution :

*
.

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