Evaluating a Definite Integral In Exercises 17-38, evaluate the definite integral. See Examples 3 and 4.
∫
−
1
0
(
t
1
/
3
−
t
2
/
3
)
d
t
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Evaluate the definite integral
(bet
+ 102)dr
using Part 1 of the Fundamental Theorem of Calculus.
Enter the exact answer. Remember to include a "+ C" if appropriate.
Include a multiplication sign between symbols. For example, a ·
· T.
ab vā
|a|
sin (a)
(6et + 10x)dx=D
Homework 3 (Math147)
uestion 5 of 12
Evaluate the definite integral two ways: First by a w-substitution in the
definite integral and then by a u-substitution in the corresponding
indefinite integral.
NOTE: Enter the exact answer.
rIn 3
et
dx =
-In 3 e + 4
Question
Se
Given
(-6x6
-
4x5
+ 5x - 3)dx, evaluate the indefinite integral. Do not include +C in your answer.
Provide your answer below:
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