Evaluate the integral?
回答 (1)
2015-09-28 3:22 pm
✔ 最佳答案
∫ sec θ tan θ dθ = sec θbecause d/dθ (sec θ) = sec θ tan θ
Let F(θ) = sec θ
substitute the upper limit π/4
F(π/4) = sec(π/4) = 1 / cos(π/4) = √2
substitute the lower limit 0
F(0) = sec(0) = 1/cos(0) = 1
subtract:
F(π/4)-F(0) = √2 -1
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