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Example Questions
Example Question #2261 : Calculus Ii
First, chop up the fraction into three separate terms:
Next, integrate:
Evaluate at 5 and then 0. Subtract the results:
Example Question #2262 : Calculus Ii
What is the integral of ?
Rewriting the integral as an easy-to-integrate indefinite integral gives us , for which we can just use the power rule to get:
.
Plugging in the values gives us .
Example Question #2263 : Calculus Ii
Which of the following is ?
If we solve for the indefinite integral using the power rule, we get
. If we then plug in the values, we get
.
Example Question #2264 : Calculus Ii
Evaluate the definite integral
The antiderivative of is
.
Using the Fundamental Theorem of Calculus,
Example Question #2265 : Calculus Ii
Evaluate the definite integral
For this problem we use the fact that
As such,
Example Question #2266 : Calculus Ii
Evaluate
To evaluate
we take its antiderivative and calculate
. With
, we get
Example Question #2267 : Calculus Ii
Evaluate
To evaluate
we take its antiderivative and calculate
. With
, we get
Example Question #151 : Definite Integrals
Evaluate
To evaluate
we take its antiderivative and calculate
. With
, we get
Example Question #152 : Definite Integrals
Evaluate
To evaluate
we take its antiderivative and calculate
. With
, we get
Example Question #153 : Definite Integrals
Evaluate
To evaluate
we take its antiderivative and calculate
. With
, we get
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