Use the Fundamental Theorem of Calculus to calculate the definite integral. Give an exact answer ∫ 0 π 2 e cos ⁡ θ sin ⁡ θ d θ

Question

Use the Fundamental Theorem of Calculus to calculate the definite integral. Give an exact answer      ∫    0          π      2            e          cos      ⁡      θ        sin  ⁡  θ  d  θ

pronajatk8m · Accepted Answer

∫    0          π      2            e          cos      ⁡      θ        sin  ⁡  θ  d  θLet   cos  ⁡  θ  =  t    sin  ⁡  θ  d  θ  =  −  d  t      ∫    1    0        e          −      t        =      ∫    0    1        e          −      t        d  t    ⇒  −  [      e          −      t            ]    0    1    ⇒  −  [      e    1    −      e          −      0        ]    ⇒  1  −      1    e

Ernesto Wagner · Accepted Answer

good answer

Use the Fundamental Theorem of Calculus to calculate the definite integral. Give an exact answer int_0^(pi/2)e^(0cos theta)sin theta d theta=

Answered question

Answer & Explanation

New Questions in Calculus 1