Posted by Paul on Friday, March 15, 2013 at 1:08pm.
Evaluate the following indefinite integrals.
Can you show all the steps please!
a) ∫xe^x^2+10 dx
b) ∫x2/x4 dx

Math  Reiny, Friday, March 15, 2013 at 2:03pm
∫xe^x^2+10 dx
the first term fits the pattern perfectly for differentiating terms of the type e^(u)
notice if I differentiate e^(x^2) , I get
2x e^(x^2), I am given half of that, so
∫xe^x^2+10 dx
= (1/2) e^(x^2) + 10x + C
for the second:
∫x2/x4 dx
using one step of a long division, we can show that
(x2)/(x4)
= 1 + 2/(x4)
so ∫x2/x4 dx
= ∫1 + 2/x4 dx
= x + 2ln(x4) + C
Answer This Question
Related Questions
 Math  Evaluate the following indefinite integrals. Show all steps please A) &#...
 Math  Evaluate the following indefinite integrals. ∫4e^6x dx ∫...
 Calculus  Which of the following integrals represents the volume of the solid ...
 Calculus  evaluating integrals  I'm really having trouble with this current ...
 Help Evaluating Integrals  1.) ∫ (2)/(x4) dx 2.) ∫ sec^2x tanx dx ...
 Calculus  Alright, I want to see if I understand the language of these two ...
 Math  Evaluate the given indefinite integrals. ∫ (x+2)(2x+3)^1/2
 Integration?  Sorry, i have a load of questions on integration... thanks for ...
 Applied Calc  Find the indefinite integral of x^4/1x^5dx. so far, I have these...
 calculus  evaluate the following indefinite integrals by substitution & check ...
More Related Questions