Question

The following integral ${\int }_{\pi /4}^{\pi /2}(2cosecx{)}^{17}dx$ is equal to

• A. ${\int }_0^{log(1+\sqrt{2})}2(e^u+e^{-u}{)}^{16}du$
• B. ${\int }_0^{log(1+\sqrt{2})}2(e^u+e^{-u}{)}^{17}du$
• C. ${\int }_0^{log(1+\sqrt{2})}2(e^u-e^{-u}{)}^{17}du$
• D. ${\int }_0^{log(1+\sqrt{2})}2(e^u-e^{-u}{)}^{16}du$

Answer 1

Answer: (A)

${\int }_{\frac{\pi }{4}}^{\frac{\pi }{2}}(2cosecx{)}^{17}dx$