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CBSE Class 12-science Answered

Integrate cosx/4+5sinx
Asked by Harmanjaura462003 | 25 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 | 25 Sep, 2019, 05:17: PM

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