Calculus 2 : Definite Integrals

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #611 : Integrals

\displaystyle \int_{0}^{3}3x^2+1dx

Possible Answers:

\displaystyle 30

\displaystyle 24

\displaystyle 27

\displaystyle 10

\displaystyle 3

Correct answer:

\displaystyle 30

Explanation:

First, integrate the terms. Remember to raise the exponent by 1 and also put that result on the denominator: 

\displaystyle 3(\frac{x^3}{3})+x=x^3+x

Next, evaluate at 3 and then 0. Subtract the results:

\displaystyle [3^3+3]-0=30.

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