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1. The function f(x)= 8+(3x 2 -12x+13) 6 is defined for all real values of x. Find the stationary point(s) of f(x) and classify the

1. The function f(x)= 8+(3x2 -12x+13)6 is defined for all real values of x. Find the stationary point(s) of f(x) and classify the nature of the stationary point(s) by second derivative test.

2. Find the following indefinite integrals:

a)[1+tan2(3x+5)]sin[72tan(3x+5)]dx

b)(2x2+x)ln(4x+3)dx

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