Tuesday

July 29, 2014

July 29, 2014

Posted by **Paul** on Friday, March 15, 2013 at 1:08pm.

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

**Related Questions**

Math - Evaluate the following indefinite integrals. Show all steps please A) &#...

Math - Evaluate the following indefinite integrals. ∫4e^6x dx ∫...

Calculus - evaluating integrals - I'm really having trouble with this current ...

Help Evaluating Integrals - 1.) ∫ (2)/(x-4) dx 2.) ∫ sec^2x tanx dx ...

Math - Evaluate the given indefinite integrals. ∫ (x+2)(2x+3)^1/2

Integration? - Sorry, i have a load of questions on integration... thanks for ...

calculus - evaluate the following indefinite integrals by substitution & check ...

Math integrals - What is the indefinite integral of ∫ [sin (π/x)]/ x^...

Calculus. I need help! - Evaluate the indefinite integral (a.)∫√(...

Calculus - Evaluate the triple integral ∫∫∫_E (x+y)dV where E ...