hi .this is an integration by parts question . help plz .. tomorrow is my final paper?

Question

hi . . the question is this ...
integral of (x^3).(e^(x^2)) ... hope u will get the question .
x power 3 multiplied by . e power x power 2... here 2 is the power of x and .. x^2 is the power of e .. this is the question .and integrate it by . the integration by parts method .. plzz . do it quickly

Answer 1

if y=x^2, then dy = 2x dx

integration of (x^3 e^(x^2))dx = integration of 1/2 (y.e^y dy)

it can now be solved easily, using the rule:

int (u dv) = uv - int (v du)

int (1/2 y e^y dy) = 1/2 y e^y - int(1/2 e^y dy) = 1/2 y e^y - 1/2 e^y = 1/2 e^y (y-1)

now put y=x^2

Answer 2

Honey, this may be a paper on your guy or woman ideas on a topic rely. Do you settle in actual actuality lost in a controversy or not? the 1st answer right this is the ultimate one. that is declared in a controversy, there are 3 factors. there is my theory of the reality, your theory of the reality, and the reality that is self. in spite of the undeniable fact that the reality cant exist any further than the rest except somebody is seeing it, acknowledging that is life. considering that each and every physique has their very own theory of any subject rely, then who's to declare if any ingredient is ever considered in that is purest or truest kind? and that i'm particular Calire did not recommend "The notice argument infers which you have..." yet meant means that etc. The speaker implies, the listener infers. Sláinte

Answer 3

The answer is .5e^x^2(x^2-1)
Remember integration by parts is Sudv= uv-Svdu

Answer 4

it is lengthy i dont know how to type integration sign

Answer 5

I assume your teacher gave you plenty of time to do this, so why would I want to save your bacon?

Answer 6

maxroth is correct...I haven't done calculus in 25 years