Grade 12th passIntegral Calculus
Integrate the following with respect to x:∫(1/(cos alpha + cos x))dx
Integrate the following with respect to x:
∫(1/(cos alpha + cos x))dx
1 Answer
Aditya Gupta
Denominator becomes 2cos(a+x)/2*cos(a-x)/2
Now multiply and divide by sin[ (a+x)/2+(a-x)/2 ]=sina
Expanding the numerator would then give tan(a+x)/2 + tan(a-x)/2
But we obviously know the integral of tanz with respect to z is lnsecz.
Hence simply put (a+x)/2= z and (a-x)/2 = y for the first and second integral respectively.
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