Regra do trapézio
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❯◆■❱❊❘❙■❉❆❉❊ ❚❊❈◆❖▲Ó●■❈❆ ❋❊❉❊❘❆▲ ❉❖ P❆❘❆◆➪❈❖❖❘❉❊◆❆➬➹❖ ❉❖ ❈❯❘❙❖ ❉❊ ❊◆●❊◆❍❆❘■❆ ▼❊❈➶◆■❈❆
❈❯❘❙❖ ❉❊ ❊◆●❊◆❍❆❘■❆ ▼❊❈➶◆■❈❆
❆◆❆ ❈❆❘❖▲■◆❆ ❇❯❩❆◆❊▲▲■
❈▲❊❨❙❖◆ ❍❆❘❯❨❯❑■ ❉❖❙ ❙❆◆❚❖❙ ❙❍■◆●Ú
❊▼■▲■❆◆❖ ❇❆❘❘❊❚❚❖ ❆▲▼❊◆❉❘❖
P❆❯▲❖ ❙➱❘●■❖ ❉❊ ▲■▼❆ ❇❆❩❆▲■❆
❘❆◗❯❊▲ ❉❊ ❙❆◆❚❆◆❆ ❆▲❖◆❙❖
❙➱❘●■❖ ❱■❚❖❘ ❈❆❱❆▲❈❆◆❚■ ❚❘❊❱■❙❆◆
❉❊❙❊◆❱❖▲❱■▼❊◆❚❖ ❊ ■▼P▲❊▼❊◆❚❆➬➹❖ ❊▼ ▲■◆●❯❆●❊▼
▼❆❚▲❆❇
❘
❉❖ ▼➱❚❖❉❖ ❉❊ ■◆❚❊●❘❆➬➹❖ ◆❯▼➱❘■❈❆ ❉❆ ❘❊●❘❆
❉❖❙ ❚❘❆P➱❩■❖❙
❆❚■❱■❉❆❉❊ P❘➪❚■❈❆ ❙❯P❊❘❱■❙■❖◆❆❉❆
❈❖❘◆➱▲■❖ P❘❖❈ÓP■❖
✷✵✶✹
❈♦♥t❡ú❞♦
✶ ■♥tr♦❞✉çã♦
✷
✷ ❉❡s❡♥✈♦❧✈✐♠❡♥t♦
✷✳✶
✷✳✷
✷✳✸
✷✳✹
✷✳✺
✷✳✻
❉❡s❝r✐çã♦ ❞♦ ♠ét♦❞♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❉❡❞✉çã♦ ❞❛ ❡q✉❛çã♦ ❞❛ ❘❡❣r❛ ❞♦ ❚r❛♣é③✐♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
■♥t❡r♣r❡t❛çã♦ ❣❡♦♠étr✐❝❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❆❧❣♦r✐t♠♦ ❞❛ ❘❡❣r❛ ❞♦ ❚r❛♣é③✐♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❆♣r❡s❡♥t❛çã♦ ❞❛ ♣r♦❣r❛♠❛çã♦ ❡♠ ❧✐♥❣✉❛❣❡♠ ▼❆❚▲❆❇ ❘
❘❡s♦❧✉çã♦ ❞❡ ❡①❡♠♣❧♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
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✸ ❈♦♥❝❧✉sã♦
✶✸
✹ ❇✐❜❧✐♦❣r❛✜❛
✶✹
✶
✶ ■♥tr♦❞✉çã♦
❆ ❘❡❣r❛ ❞♦s ❚r❛♣é③✐♦s é ✉♠ ♠ét♦❞♦ s✐♠♣❧✐✜❝❛❞♦ ♣❛r❛ s❡ ❝❛❧❝✉❧❛r ❛ ✐♥t❡❣r❛❧ ❞❡ ✉♠❛ ❢✉♥çã♦ f (x) ♥✉♠
✐♥t❡r✈❛❧♦ ❝♦♥tí♥✉♦ [a, b]✱ ♣♦✐s ❛ ♣❛rt✐r ❞❛ ár❡❛ ❞❡ tr❛♣é③✐♦s é ♣♦ssí✈❡❧ s❡ ❛♣r♦①✐♠❛r ❞❛ ✐♥t❡❣r❛❧ s♦❜ ❛ ❝✉r✈❛
❞❛❞❛✳ ❖ ♠ét♦❞♦ ❡♥✈♦❧✈❡ ❛♣❡♥❛s ❝á❧❝✉❧♦s ❞❛s ár❡❛s ❞❡ tr❛♣é③✐♦s ❡ s♦♠❛ ❞❛s ♠❡s♠❛s✱ ♣♦rt❛♥t♦ ❛ ❘❡❣r❛ ❞♦s
❚r❛♣é③✐♦s ♣♦r s❡r ✉♠ ♠ét♦❞♦ ❞♦t❛❞♦ ❞❡ ❝á❧❝✉❧♦s s✐♠♣❧❡s✱ r❡t♦r♥❛ ✉♠ ✈❛❧♦r ❛♣r♦①✐♠❛❞♦ ❞♦ ✈❛❧♦r r❡❛❧❀ ♣♦❞❡♥❞♦
♠❡❧❤♦r❛r s✉❛ ♣r❡❝✐sã♦ ❛♦ s❡ ❛✉♠❡♥t❛r ❛ q✉❛♥t✐❞❛❞❡ ❞❡ tr❛♣é③✐♦s ❛ s❡r❡♠ ✉t✐❧✐③❛❞♦s✳ ❈♦♥t✉❞♦✱ ❛♦ s❡ ❛✉♠❡♥t❛r
❛ q✉❛♥t✐❞❛❞❡ ❞❡ ❞✐✈✐sõ❡s n ♥♦ ✐♥t❡r✈❛❧♦ [a, b]✱