Integration Using Technology In Exercises 61 and 62, use a symbolic integration utility to find the indefinite integral. Verify the result by differentiating.
To calculate: The value of the provided indefinite integral
integral utility.
Given Information:
The provided indefinite integral is
Formula Used:
According to the general power rule for integration,
If
where
Calculation:
Consider the indefinite integral say
Let
Differentiate the equation with respect to
Divide by 3 on both sides,
And
Subtract 2 from both sides,
Divide by 3 on both sides,
Substitute the value of
Now, apply the general power rule for integrtion in the above equation,
Now substitute
Therefore, the value of the provided integral
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