Q. 314.0( 4 Votes )

Evaluate</s

Answer :

Let I =

Here, we express the denominator in terms (sin x – cos x) which is the integration of numerator.


Clearly,



Therefore, becomes,




Let, sin x – cos x = t.


Then, d(sin x cos x) = dt


(cos x + sin x)dx = dt.

Now the limits of integration also change,

at x = 0

t = sin0 – cos0 = – 1 and
at x =






OR


(let)


When ; a = 1, b = 3





By, the definition we know that,





As






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