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) ∫x-2/x-4 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:

∫x-2/x-4 dx

using one step of a long division, we can show that

(x-2)/(x-4)

= 1 + 2/(x-4)

so ∫x-2/x-4 dx

= ∫1 + 2/x-4 dx

= x + 2ln(x-4) + 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)/(x-4) 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^4/1-x^5dx. so far, I have these...
- calculus - evaluate the following indefinite integrals by substitution & check ...

More Related Questions