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MATHEMATICS

JAMB 2009 - Question 40

Mathematics 2009 JAMB Past Questions - Question 40: Evaluate ʃ sec² ѳ dѳ

Evaluate ʃ sec² ѳ dѳ

A: sec 0 tan0+k

B: tan 0+k

C: 2sec 0+k

D: sec0+k

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Correct Answer

Explanation

Evaluate ʃ sec² ѳ dѳ = tan ѳ + kTo evaluate the integral ∫ sec²θ dθ, we can use the integral formula for the derivative of the tangent function:∫ sec²θ dθ = tan(θ) + Cwhere C is the constant of integration.Therefore, the integral of sec²θ with respect to θ is equal to tan(θ) + C.