Question

How to integrate

Answer 1

do you know how to differentiate?

Answer 2

integration is anti derivatives

Answer 3

basically...the most basic ones are

Answer 4

its rarely ever that simple

Answer 5

\[\int\limits_{?}^{?} 6x^{2}e ^{x ^{3}} dx\]

Answer 6

Come on guys even I know that

Answer 7

4x^3 e^x^3 3x^2 + c

Answer 8

How..............

Answer 9

it's anti derivatives...u have to know the rules

Answer 10

it's not something that's really all that explainable....there's entire classes on it...usually calculus 2

Answer 11

id go by parts as a first glance

Answer 12

I did but couldnot get the answer

Answer 13

yea i don't even think my answer is right....probably u du sub

Answer 14

Got it I have to substitute u=x^3

Answer 15

Thanks guys.........

Answer 16

int(u)
du e^(x^3)
+ 6x^2 3x e^(x^3)
- 12x use product rule to get this one
+ 12 keep it up
- 0 the end

Answer 17

integ 6x^2e^x^3

u=x^3
du=3x^2

it becomes integration 2e^u du = 2e^u = 2e^(x^3)

Answer 18

lol .... that was sooo close, but i ended up differentiateing the rightside lol

Answer 19

I did as lalaly and got it,should have tried myself..

Answer 20

don't be scared to play with integrals...they're kinda tough to get wrong

Answer 21

if your answer makes sense...ur probably right...such that u du sub...if everything is in the equation...ur probably on the right track

Answer 22

just grind them out

Answer 23

Absolutely.........

Answer 24

truth is by the time you get to series and tests...you'll be able to do most integration in your head

Answer 25

or using ur calculator

Answer 26

join them pieces by pieces that is how you will integrate

Answer 27

There is a trick to integrating that without all that hassel
\[\int\limits_{?}^{?} 6x^{2}e ^{x ^{3}} dx\]

Answer 28

How imran?

Answer 29

get a ti 89 calculator?

Answer 30

I would love to hear it.

Answer 31

I will post it during the day b/c I just woke up

Answer 32

roshan...do u know how to use a calculator to solve these?

Answer 33

I have already got Wolfram Mathematica on my computer though

Answer 34

i just saw it; to me it is: \(2*3x^2*e^{x^3}\)

that 3x^2 part is the chain rule that pops out of e^(x^3)

Answer 35

Euler's right imran ?

Answer 36

No, euler won't help unless there is trig in there

Answer 37

I didn't knew that.

Answer 38

Beta or gamma functions?

Answer 39

\[2\int\ 3x^2\ e^{x^3} dx=\ 2\ e^{x^3}\]
right?

Answer 40

yeah, gamma

Answer 41

Ha Ha Nailed it

Answer 42

Yeap Gamma function is the correct way to do it

Answer 43

But it's not a definite integral

Answer 44

which is what lalaly so elegantly pointed out :)