PART III. IntegrationEvaluate the integral. The symbols a and b are constants greater than 1. You are not required to combine liketerms, reduce fractions, or otherwise simplify your final answer.4t2x1)dtt-t12) S-x3+5x2+6xdt2)13) Sxcos(x?)dx9b-tS=- sin(ln(x))dx14) Seln(x³/a) x2/adxx5/a3)4)S cos(x) · sin²(x) dx15) S tcosh(at + 2)dt2y+eySea-teln(t)dt16) sdyey5)dx6)17) Edtt2x2-x-67)2x+x?- cosh(x)dx18) St?cos(2t)dtS 2y²e»° dy19) Sxeax+1dx8)dx9)Sx²e2xdx20) S:x-x210) S(2/a x)°e- In(x²)e3% dxbx21) S:V3+ax11)Se-In(x)x²e3-x dx

Since you have posted multipart question and we can answer three subparts. So, answered first three…

Evaluate the integral. The symbols a and b are constants greater than 1. You are not required to combine like terms, reduce fractions, or otherwise simplify your final answer. 1) Sdt 12) S- 2x -dx x3+5x²+6x dt 2) 13) S xcos(x²)dx 9b-t 3) S- sin(In(x))dx 14) Seln(x³/a) x?/a

Evaluate the integral. The symbols a and b are constants greater than 1. You are not required to combine like terms, reduce fractions, or otherwise simplify your final answer. 1) Sdt 12) S- 2x -dx x3+5x²+6x dt 2) 13) S xcos(x²)dx 9b-t 3) S- sin(In(x))dx 14) Seln(x³/a) x?/a

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

PART III. Integration
Evaluate the integral. The symbols a and b are constants greater than 1. You are not required to combine like
terms, reduce fractions, or otherwise simplify your final answer.
4t
2x
1)
dt
t-t
12) S-
x3+5x2+6x
dt
2)
13) Sxcos(x?)dx
9b-t
S=- sin(ln(x))dx
14) Seln(x³/a) x2/a
dx
x5/a
3)
4)
S cos(x) · sin²(x) dx
15) S tcosh(at + 2)dt
2y+ey
Sea-teln(t)dt
16) s
dy
ey
5)
dx
6)
17) E
dt
t2
x2-x-6
7)
2x+x?
- cosh(x)dx
18) St?cos(2t)dt
S 2y²e»° dy
19) Sxeax+1dx
8)
dx
9)
Sx²e2xdx
20) S:
x-x2
10) S(2/a x)°e- In(x²)e3% dx
bx
21) S:
V3+ax
11)
Se-In(x)x²e3-x dx

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