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15 Questions around this concept.
If Then the ordered triplet is
(a) Integral of the form
Working Rule:
Step 1 : Divide numerator and denominator both by cos2x.
Step 2 : Put tan x = t, sec2x dx = dt
This substitution will convert the trigonometric integral into algebraic integral.
After employing these steps the integral will reduce to the form , where f(t) is a polynomial in t.
This integral can be evaluated by methods we studied in previous concepts.
(b) Integral of the form
Working Rule:
Write sin x and cos x in terms of tan (x/2) and then substitute for tan (x/2) = t
i.e.
(c) Integrals of the form
Working Rule:
where λ, μ and γ are constants to be determined by comparing the coefficients of sinx, cos x and constant
terms on both sides.
The last integral on RHS can be evaluated by the methods we studied in previous concept.
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Mathematics for Joint Entrance Examination JEE (Advanced) : Calculus
Page No. : 7.19
Line : 32
Mathematics for Joint Entrance Examination JEE (Advanced) : Calculus
Page No. : 7.20
Line : 20
July 04, 2019
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