Many functions do not have elementary antiderivatives and as a result, definite integrals cannot be evaluated exactly using the fundamental theorem of calculus. in each case determine if the definite integral can or cannot be evaluated exactly using the fundamental theorem. (a) 8 e−x2 dx 3 the fundamental theorem can be used. the fundamental theorem cannot be used. (b) 5 ex x dx 4 the fundamental theorem can be used. the fundamental theorem cannot be used. (c) 9 ex·cosx dx 3 the fundamental theorem can be used. the fundamental theorem cannot be used. (d) 13 1 lnx dx 8 the fundamental theorem can be used. the fundamental theorem cannot be used.

Answer and Step-by-step explanation:

15.   or

-1.35 = -135/100 =  (Mixed number)

Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).

-1.35 x 100 = -135

=

(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)

18. or

4.45 = 49/11 =

4.4545.....

Multiply the number by 100 (because there is 2 numbers being repeated.

445.4545....

Now subtract by the original number.

445.4545....

-   4.4545....

441.00

Write this as an equation:

(100 x fraction) - fraction = 441           (100 x fraction) - fraction = 99 x fraction

99 x fraction = 441   (Divide both sides by 99)

fraction = (which simplifies down to )

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