Area Between Two Curves

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Presentation transcript:

Area Between Two Curves Honors Calculus Keeper 34

Area of a Region Between Two Curves 𝐴= 𝑎 𝑏 𝑓 𝑥 −𝑔 𝑥 𝑑𝑥 𝑻𝑶𝑷−𝑩𝑶𝑻𝑻𝑶𝑴 OR 𝑹𝑰𝑮𝑯𝑻 −𝑳𝑬𝑭𝑻

Find the area of the region bounded by the graphs 𝑓 𝑥 = 𝑥 2 +2, 𝑔 𝑥 =−𝑥, 𝑥=0, 𝑥=1

Find the area of the region bounded by the graphs 𝑓 𝑥 =2− 𝑥 2 , 𝑔 𝑥 =𝑥

Find the area of the region bounded by the graphs 𝑓 𝑥 = sin 𝑥 , 𝑔 𝑥 = cos 𝑥 Find the area for one of the repeated regions!!!

Find the area of the region bounded by the graphs 𝑓 𝑥 =3 𝑥 3 − 𝑥 2 −10𝑥, 𝑔 𝑥 =− 𝑥 2 +2𝑥

Find the area of the region bounded by the graphs 𝑥=3− 𝑦 2 , 𝑥=𝑦+1

Find the area of the region bounded by the graphs 𝑓 𝑥 = 𝑥−1 3 , 𝑔 𝑥 =𝑥−1

Find the area of the region bounded by the graphs 𝑓 𝑥 =3( 𝑥 3 −𝑥), 𝑔 𝑥 =0