* Using integration by parts, the integral sec³dx is equal to 1 1 - secxtanx +In|secx +tanx| + C 2 1 -secxtanx -in|secx - tanx| +C 2 2 none of these 1 1 (D secxtanx -in|secx +tanx| + C 1 © z secx + inlsecx +tanx| + C E) 2

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A: Given Data: Integrand: ∫tan54xdx   let u=4x   The derivative of the above equation is, dudx=41dx=du4

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Q: Let f'(x) = (12x41) sec²(3x4 - In(x)) 2x and suppose that f(1) = tan(3). Determine f(x).

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