26. Evaluate the following definite integrals using the method of substitution, and then identify an antiderivative of

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26. Evaluate the following definite integrals using the method of substitution, and then identify an antiderivative of the integrand:

(a)

Ðy

y yey2 dy (Hint: First consider

Ð N

M yey2 dy as a definite integral.)

(b)

Ð 20 2

ln ffiffiffiwp w dw (Hint: Focus on ln ffiffiffiffi pw.)

(c)

Ð 10 0 ð8x3 þ 10x  3Þð2x4 þ 5x2  3xÞ1=2 dx (Hint: First consider

Ð 10 a f ðxÞ dx for a > 0.)

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