Evaluating Integrals Using Geometry

• 144

• 288

• 72

• 48

• 0

• 15

• 4

• 60

• 36

• 1

• 2

• 4

• -4

What is the area between the curve y=-3x²+12 and the x-axis from x=3 to x=5?

THIS IS A DEFINITE INTEGRAL! Write it as one and solve!

• 12

• 24

• 16

• -74

• -1/x⁴+C

• -x⁴+C

• 4x^-4+C

• -4/x⁴+C

What does C represent in an antiderivative/integral?

• A variable

• A constant

• None of these

• Unknown

What is the area between the curve y=-3x²+12 and the x-axis from x=0 to x=3?

THIS IS A DEFINITE INTEGRAL! Write it as one and solve!

• 9

• 24

• 16

• 36

Which definite integral models the area highlighted above?

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• 
• 
• 

Find the area indicated by the following integral

• 1

• 2

• 4

• -4