What is the Integration of (sec^2 xe^tanx)?

Question

pls note that ^ mean to the power of.
I solved in one way but wanted to make sure of the answer.
my answer was: tanx cotxe^tanx
Thanks.

Answer 1

Let u = tan x
du = sec²x.dx
I = ∫ sec²x.e^(tan x).dx
I = ∫ e^(u).du
I = e^(u) + C
I = e^(tan x) + C

Answer 2

in case you assert "are" then you definately are as ignorant as you sound. in case you assert "have been" then ok: you may desire to appreciate CONTEXT. each and each technology has to handle the region they inherited from the previous one. you do no longer merely abruptly look on earth with a clean slate and the skill to make your guy or woman reality. So interior the 1700s, in case you have been a properly-off white guy or woman interior the south, your place/relatives possibly had some slaves. You grew up questioning a undeniable way approximately black human beings. You have been taught to think of of them as kit or farm animals, it wasn't your place to question it. in case you have been from the north, you likely under no circumstances met a black guy or woman, or in case you probably did they have been illiterate, uneducated. the two north/south under no circumstances quite had a gamble to ascertain black human beings at their terrific. i'm able to think of maximum folk thought that blacks quite weren't equivalent. returned, bear in mind you inherited this subject from the previous technology. And why would desire to white human beings have integrated with the blacks? It became a rustic began by making use of, and full of white human beings. the hot guy integrates, no longer the previous guy: that's what integration skill. Africa, as a continent, has shown little or no pastime in "government as a social contract, based on the democratic concepts of existence, liberty, and belongings". So tell me returned, why would whites choose to combine? Your question makes it sound like equality is a few thing that has to take transport of. Like greater rules mandating that blacks get jobs they do no longer qualify for will make you equivalent. For the checklist, blacks weren't the 1st slaves, nor the main-used slaves, nor the worst-taken care of slaves interior the historic previous of guy. Any time in historic previous one inhabitants would desire to enslave its neighbor, it did. The Slavic persons are the place the be conscious slave comes from.

Answer 3

hey ppl.. well de ans is tanx e^tan x cause intergration of sec ^2 =tan x and intergration of e^x= e^x rite?? so i guess de ans is tanx e^tanx..

Answer 4

Integrate ∫(sec²x)(e^tanx)dx.

∫(sec²x)(e^tanx)dx
Let
u = tanx
du = sec²x dx

∫(e^u)du = e^u + c = e^(tanx) + C

Answer 5

your answer is wrong it is e^tanx

just substitute tanx = z and you will find the answer for your self.

Answer 6

I can't tell what you wrote. Is it [ sec^2 (x) ]*e^(tan(x)), or
sec^2 (xe^tan(x))?