Grade 12Integral Calculus
dx/(xtanx+1)^2 this problem is very diff for me so can you answer this question?
2 Answers
Onkar Mahajan
tanx = 1/cotx=dx/(x/cotx + 1)^2=cot^2(x)/(x + cotx)^2{x + cotx = t-cot^2(x).dx = St}=-dt/t^2=1/t=1/(x + xcotx)=tanx/(xtanx +1)
vikram
1)int cos^x/ (xsinx+cosx)^2=d/dx(1/xsinx+cosx) =xcosx/(xsinx+cosx)^2 =I=int-cosx/x .xcox/(xsinx+cosx)^2=1/x(1/1-1/xtanx)+c= tanx/xtanx+1+c
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