Calculus + Indefinite Integral

Question

∫3xe^{5x^2} dx

 

I got the answer: 3e^{5x^2}/10+C

 

My webwork keeps telling me my answer is wrong but I'm not sure why.

Answer 1

∫ 3xe^{5x^2}dx = 3∫ xe^{5x^2}dx  

 

                     Let u = 5x², then du = 10xdx.  So, xdx = (1/10)du

 

Substitute into the integral to get (3/10)∫e^udu

 

                                                = (3/10)e^u + C

 

                                                = (3/10)e^{5x^2} + C

 

It looks like your answer is correct. Try entering the answer in the format that I used above.