Please solve a and b. a) 5.27b) 9.15▸b) fºx√x + 1dxe) Sdx9+x²h) ²4te-t²dtk) fe²t cost dtn) 54 sec² (3t)dte) arctan() + Cke²x sin x +e2x cos x + COCT187. Find the given definite and indefinite integrals, some of them will require substitution, integration by parts, and/or acombination of both.a) ₁5x²√x³ - 2dxd)f 2x√√x² + 1dxg) fe(lnx) dxj) J xin (3x) dxm) cos(√)deAnswers to selected problems:c) ln2Page <-4 1-dxx lnxf) f sinh³ t cosht dtMacBook Proi) farctanx1+x²1) fx³ cos(x²)dx> of 3dxh)2 - 2e-4 i) (arctan x)² +Cjx²ln(3x) = x² + C1) x² sin(x²)+cos(x²) + C_m) 2(cos(√ē) + √ē sin( √ē) + CZOOM +tvd)

(a) ∫145x2x3-2dx Let x3-2=y dy=3x22x3-2dx⇒2x3-23x2dy=dx ∴∫145x2x3-2dx=∫i62103y2dy=109y3i62=109623+i

Answered: a) ₁5x²√x³-2dx b) fºx√x + 1dx

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a) ₁5x²√x³-2dx b) fºx√x + 1dx

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

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Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

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Question

Please solve a and b.

a) 5.27
b) 9.15
▸
b) fºx√x + 1dx
e) S
dx
9+x²
h) ²4te-t²dt
k) fe²t cost dt
n) 54 sec² (3t)dt
e) arctan() + C
ke²x sin x +e2x cos x + C
OCT
18
7. Find the given definite and indefinite integrals, some of them will require substitution, integration by parts, and/or a
combination of both.
a) ₁5x²√x³ - 2dx
d)f 2x√√x² + 1dx
g) fe(lnx) dx
j) J xin (3x) dx
m) cos(√)de
Answers to selected problems:
c) ln2
Page <
-4 1
-dx
x lnx
f) f sinh³ t cosht dt
MacBook Pro
i) f
arctanx
1+x²
1) fx³ cos(x²)dx
> of 3
dx
h)2 - 2e-4 i) (arctan x)² +Cjx²ln(3x) = x² + C
1) x² sin(x²)+cos(x²) + C_m) 2(cos(√ē) + √ē sin( √ē) + C
ZOOM +
tv
d)

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