1-0-5-x-5-x-dx-

Question Number 186051 by Tom last updated on 31/Jan/23

\underset{- 1}{\int^{0}} ∣ 5^{x} - 5^{- x} ∣ d x

Answered by Frix last updated on 31/Jan/23

= \underset{- 1}{\int^{0}} ∣ 2 \sinh (x \ln 5) ∣ d x =

= - 2 \underset{- 1}{\int^{0}} \sinh (x \ln 5) d x =

= - \frac{2}{\ln 5} {[\cosh (x \ln 5)]}_{- 1}^{0} = \frac{16}{5 \ln 5}

Facebook Tweet Pin