slavikrogozhin slavikrogozhin

11-07-2018
Mathematics

contestada

Evaluate ∫ e3x cosh 2x dx A. 1/2e5x + 1/2ex + C B. 1/10e5x + 1/5 x + C C. 1/10e5x + 1/2ex + C D. 1/4e3x + 1/2 x + C

Respuesta :

mathmate mathmate

11-07-2018

∫ e^(3x)*(cosh(2x)dx

= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx

= ∫ [(e^(5x)+e^x)/2]dx

=e^(5x)/10+e^x/2+C

=(1/10)(e^(5x)+5e^x)+C

Answer Link

Otras preguntas

Is Down Syndrome more common in a certain group of people? How common is it?

Which sentence uses punctuation correctly? My friend jumped off the diving board and shouted "look out below!" My friend jumped off the diving board and shouted

Which personal pronoun agrees with the antecedent in this sentence? Someone accidentally left __________ backpack on that park bench. A. its B. his or her C. th

A cube has six congruent faces that are all

First in war, first in peace, and first in the hearts of his countrymen. What does this quote by Henry Lee illustrate by the phrase "first in war"? George Washi

what is the poem "Last Dawn" by Octavio Paz about ?

How did Augustus impress his great-uncle, Julius Caesar?

The ratio of schooner to skiffs in the bay is 7 to 5. If there were 63 schooners in the bay, how many skiffs were there?

First in war, first in peace, and first in the hearts of his countrymen. What does this quote by Henry Lee illustrate by the phrase "first in war"? George Washi

Is Down Syndrome more common in a certain group of people? How common is it?