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If the integrands involves logarithm, an inverse trigonometric function, or a tough function to integrate whose derivative is easily calculated   a

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If the integrands involves logarithm, an inverse trigonometric function, or a tough function to integrate whose derivative is easily calculated

 

a. ?dv∫udv?

b. ?uin∫udv?

 

if the integrands involves a polynomial multiplied by a sine or a cosine , an exponential function , or some easily -integrated function, the polynonmial should be

 

a. ?uin∫udv?

b. ?dvin∫udv?

 

Integration by parts is called that because

a. it is the inverse of the Product Rule for differentiation

b. the integrand is split into parts

c. the technique only performs a part if the original integration

d. it is the inverse of the chain rule for differentiation