Integrate cosx/4+5sinx

Asked by Harmanjaura462003 | 25th Sep, 2019, 04:35: PM

Expert Answer:

begin mathsize 16px style straight I equals integral fraction numerator cosxdx over denominator 4 plus 5 sinx end fraction end style
Let 4 + 5sinx = t
5cosxdx = dt
begin mathsize 16px style straight I equals integral fraction numerator begin display style dt over 5 end style over denominator straight t end fraction equals 1 fifth log open vertical bar straight t close vertical bar plus straight c equals 1 fifth log open parentheses 4 plus 5 sinx close parentheses plus straight c end style

Answered by Sneha shidid | 25th Sep, 2019, 05:17: PM