Evaluate-the-integral-a-b-a-b-a-a-b-a-2-a-a-b-b-a-2-dt-In-which-a-b-are-the-derivatives-of-a-b-with-respect-to-t-

Question Number 8734 by tawakalitu last updated on 24/Oct/16

Evaluate the integral

\int [a (\overset{∙}{b} . a + b . \overset{∙}{a}) + \overset{∙}{a} (b . a) - 2 (\overset{∙}{a} . a) b - \overset{∙}{b} ∣ a ∣^{2}] dt

In which \overset{∙}{a}, \overset{∙}{b} are the derivatives of a, b with

respect to t

Commented by Yozzias last updated on 24/Oct/16

\int (a \frac{d}{dt} (a . b) - \overset{∙}{a} (a . b) - \overset{∙}{b} (a^{2})) dt

\int (a \frac{d}{dt} (a . b) - a {\overset{∙}{a} (b) + \overset{∙}{b} (a)}) dt

= \int (a \frac{d}{dt} (a . b) - a \frac{d}{dt} (a . b)) dt

= c

Commented by tawakalitu last updated on 25/Oct/16

Thank you sir .