Question

Select correct option from the given options.

Answer 1

aption (c) ...iam i right because integral cotx =logsinlxl

Answer 2

Answer:

(a) 1/2 ln (3/2)

Step-by-step explanation:

We have to calculate the following definite integration:

$\int\limits^\frac{\pi }{3} _\frac{\pi }{4}  {Cotx} \, dx$

Now,

$\int\limits^\frac{\pi }{3} _\frac{\pi }{4}  {Cotx} \, dx$

=$[ln(Sinx)]^{\frac{\pi }{3} } _{\frac{\pi }{4} }$

{Since we know the formula of integration that, ∫Cotx dx =ln(Sinx)+c, where c is an integration constant}

=ln √3/2 -ln 1/√2

=ln (√3/√2)

=1/2 ln (3/2)

Hence, the correct option is (a). (Answer)