dx/(sinx-cosx)
dx/(sinx-cosx)
akshay dubey , 14 Years ago
Grade
Integral Calculus> solve...
1 Answersbhushan thakur
write cosx as sin(pi/2 -x).then use sinC - sinD formula.that is sinx - sin(pi/2 -x)=2cos(pi/4)sin(x-pi/4)=root2*sin(x-pi/4)
replace sinx -cosx by above value and integrate.
∫dx/root2*sin(x-pi/4)=1/root2∫cosec(x-pi/4)dx=1/root2 log[cosec(x-pi/4) - cot(x-pi/4)]
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