Evaluate the Integral

Question

Evaluate the integral. (Use C for the constant of integration. Remember to use ln |u| where appropriate.)

(x^−0.3 − x^0.3) dx

Answer 1

Hi Symmeatra,

 

The power rule for integration is:

 

∫ xⁿ dx = xⁿ⁺¹/(n+1) + C

 

Applying this to each term of your integral:

∫(x^−0.3 − x^0.3) dx

= x^−0.3+1/(-0.3+1) − x^0.3+1/(0.3+1) + C

= x^0.7/0.7 - x^1.3/1.3 + C