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JulsSmile [24]
3 years ago
10

For each of the following integrals, indicate whether integration by substitution or integration by parts is more appropriate, o

r if neither method is appropriate. Do not evaluate the integrals.
a. ∫ xSinx dx
i. substitution
ii. neither
iii.integration

b. ∫ x⁴/(1+x³). dx
i. substitution
ii. neither
iii.integration

c. ∫ x⁴. e^x³. dx
i. substitution
ii. neither
iii.integration

d. ∫x⁴ cos(x⁵). dx
i. substitution
ii. neither
iii.integration

e. ∫1/√9x+1 .dx
i. substitution
ii. neither
iii.integration
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

a. ∫ xSinx dx

iii. integration by parts

u =x and dv= sinx

b. ∫ x⁴/(1+x³). dx  

ii. neither

Long division is an option here before integration is done

c. ∫ x⁴. e^x³. dx

i. substitution

where u = x⁵

d. ∫x⁴ cos(x⁵). dx

i. substitution

where u = x⁵

e. ∫1/√9x+1 .dx

i. substitution

where u = 9x+1

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