Definite Integrals

Definite Integrals

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Rank these shoes 1-5 in order of preference:

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How are derivatives and antiderivatives related?

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2) In order to find an integral, what must you take?

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3) What does this symbol tell you to do:

 $\int_{ }^{ }$  

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4) What is the power rule for integrals?

 $\int_{ }^{ }a^xdx$  

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5) What do you have to write after an antiderivative?

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6) Find the following integrals:

 $\int3\ dx$  

 $\int x\ dx$  

 $\int\sqrt{x}dx$  

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What differences and similarities do you notice between this problem and previous integrals you found?

 $\int_{-2}^4\ \left(\frac{1}{2}x+3\right)\ dx$  

Multiple Choice

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

Multiple Choice

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

Multiple Choice

• 12/3
• 6.5
• 5.5
• 11/3

Multiple Choice

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200
• 1/12
• 1134
• 1076