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Mathematics 20 Online
OpenStudy (anonymous):

Hello!! Is anyone good with evaluating indefinite integrals?

OpenStudy (anonymous):

This one seems easy but I could sure use confirmation on the correct answer!! Lol.

OpenStudy (anonymous):

post the question

OpenStudy (anonymous):

Posting!!

OpenStudy (anonymous):

uh uhs, amistre is here :P

OpenStudy (amistre64):

.......TRIG......

OpenStudy (anonymous):

i meant uh ohs*

OpenStudy (anonymous):

I couldn't figure out how to post a division with out the sign!

OpenStudy (amistre64):

give me a T; give me an R; give me an IG...whats that spell? trouble?

OpenStudy (anonymous):

lols nah, spells awesomeness

OpenStudy (amistre64):

post it your best and well decipher it :)

OpenStudy (anonymous):

\frac{numer}{deno}

OpenStudy (anonymous):

ArcsinX + C

OpenStudy (anonymous):

^-- in the equation editor and like amistre said it's not a big deal

OpenStudy (anonymous):

lols all yours amistre

OpenStudy (amistre64):

integrate arcsin + C? or is that your answer that yougot?

OpenStudy (anonymous):

That's my answer - I just have to evaluate the integral

OpenStudy (amistre64):

whats the integral so that we can pervue its intricate innards :)

OpenStudy (anonymous):

\[\frac{1}{\sqrt{1 - x^2}}\] is this the integral?

OpenStudy (anonymous):

without the integral sign...or the dx...

OpenStudy (anonymous):

\frac\[\int\limits_{?}^{?}\frac{1}{1+x^2} dx\]

OpenStudy (amistre64):

thats a arctan..

OpenStudy (anonymous):

yup, amistre's right

OpenStudy (amistre64):

i saw it in a movie lol

OpenStudy (anonymous):

lols "down the rabbit hole"?

OpenStudy (amistre64):

:) tan^1(x) + C...are there any bounds to evaluate?

OpenStudy (amistre64):

..^-1..

OpenStudy (anonymous):

\[[\int\limits] dx 1 + x2 = \arctan x + C \]

OpenStudy (anonymous):

Was that all I needed to refer to?! I have it in my notes but the 'dx' was in the num

OpenStudy (amistre64):

its like learning greek all over again ;)

OpenStudy (anonymous):

something like this? \[\int\limits_{}^{}\frac{1}{x^2 + 1}dx\]

OpenStudy (anonymous):

Noooo kidding! lol

OpenStudy (anonymous):

Noooo kidding! lol

OpenStudy (amistre64):

\[\int\limits_{} \frac{1}{1+x^2} dx \rightarrow \tan^{-1}(x) + C\]

OpenStudy (anonymous):

for answering this question, amistre...i give you...a MEDAL

OpenStudy (anonymous):

-applause-

OpenStudy (amistre64):

yay!! ..... its prolly foiled covered chocolate...so I accept :)

OpenStudy (anonymous):

lols how'd you guess? enjoy! cheers

OpenStudy (anonymous):

Will arctan x + c be correct?

OpenStudy (anonymous):

-nod-

OpenStudy (amistre64):

as long as you havent left anyting out, yes; but arctan is a dated term

OpenStudy (amistre64):

i would know; im dated ;)

OpenStudy (anonymous):

lol!

OpenStudy (anonymous):

Can you guys help me with another problem/confirm my answer being right or wrong?!!

OpenStudy (amistre64):

perhaps, but display the question first; just makes it easier :)

OpenStudy (anonymous):

lol - kk!!

OpenStudy (anonymous):

Eval the Indefinite Integral :\[\int\limits\limits_{?}^{?}\frac{x^3 dx}{\sqrt[4]{5x^4-1}}\]

OpenStudy (amistre64):

you want a 15 for that :)

OpenStudy (anonymous):

I got: 1/15 (5x^4)^3/4 + C

OpenStudy (amistre64):

its refered to as "u- substitution" u = 5x^4 - 1; du = 20x^3 dx dx = du/20x^3

OpenStudy (anonymous):

\[\frac{1}{15} (5x^{4})^{3/4} + C\]

OpenStudy (amistre64):

\[\int\limits_{} \frac{x^3 }{20x^3 u^{1/4}}du\]

OpenStudy (amistre64):

i mistyped 15; meant 20 :) the x^3s cancel; pull out the 1/20; and integrate the u^(-1/4)

OpenStudy (amistre64):

\[\frac{1}{20} \int\limits_{} u^{-1/4} du \rightarrow \frac{1}{20} \frac{u^{(-1+ 4)/4}}{(-1+4)/4}\]

OpenStudy (amistre64):

u^(3/4)/(3/4) 4 * 4root(u^3) ------------ 20 * 3 4root(u^3) ------------ = 4root[5x^4-1]/15 5 * 3

OpenStudy (amistre64):

forgot to ^3 my (5x^4 - 1)

OpenStudy (amistre64):

\[\frac{\sqrt[4]{(5x^4 -1)^3}}{15} +C\]

OpenStudy (anonymous):

You are great!!!!! So final answer: \[\frac{1}{20} (5x^{4} -1)^{3/4} + C?\]

OpenStudy (amistre64):

that looks comparabley good :)

OpenStudy (amistre64):

ack!!...1/15.....not 1/20

OpenStudy (anonymous):

ahh!!

OpenStudy (anonymous):

Fantastic!! lol - I almost messed that one up! Thank you so much! I have another problem I might post a new question so I can award medals - lol

OpenStudy (amistre64):

im sure we will be around :)

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