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人気のある微分積分 >

integral from 1 to x^4 of sec(x)

解

\int_{1}^{x^{4}} sec (x) d x

解

ln tan (x^{4}) + sec (x^{4}) - ln (tan (1) + sec (1))

解答ステップ

\int_{1}^{x^{4}} sec (x) d x

共通積分を使用する:

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= [ln ∣ tan (x) + sec (x) ∣]_{1}^{x^{4}}

限度を計算する:

ln tan (x^{4}) + sec (x^{4}) - ln (tan (1) + sec (1))

= ln tan (x^{4}) + sec (x^{4}) - ln (tan (1) + sec (1))

人気の例

integral from 0 to x of 1/(1-t^2)

\int_{0}^{x} \frac{1}{1 - t ^{2}} d t

integral from 1 to x of (10)/(9x^2)

\int_{1}^{x} \frac{10}{9 x ^{2}} d x

integral from x-3 to x+3 of y

\int_{x - 3}^{x + 3} y d y

integral from 0 to 3 of 53-(3x^2+2x+20)

\int_{0}^{3} 53 - (3 x^{2} + 2 x + 20) d x

integral from 1 to 3 of x/2

\int_{1}^{3} \frac{x}{2} d x