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人気のある微分積分 >

integral from 3 to x of sec(t)tan(t)

解

\int_{3}^{x} sec (t) tan (t) d t

解

sec (x) - sec (3)

解答ステップ

\int_{3}^{x} sec (t) tan (t) d t

u置換積分法を適用する

= \int_{s e c (3)}^{s e c (x)} 1 d u

定数の積分:

\int a d x = a x

= [1 \cdot u]_{s e c (3)}^{s e c (x)}

簡素化

= [u]_{s e c (3)}^{s e c (x)}

限度を計算する:

sec (x) - sec (3)

= sec (x) - sec (3)

人気の例

integral from 0 to 1 of 2x(x^2+3)^4

\int_{0}^{1} 2 x (x^{2} + 3)^{4} d x

integral from 0 to 1 of sqrt(1/(4x)+9)

\int_{0}^{1} \frac{1}{4 x} + 9 d x

integral from 0 to infinity of x*e^{-4x}

\int_{0}^{\infty} x \cdot e^{- 4 x} d x

integral from 0 to 2 of 1/25 y

\int_{0}^{2} \frac{1}{25} y d y

integral from 0 to 2 of 3xsqrt(x^2+4a^2)

\int_{0}^{2} 3 x x^{2} + 4 a^{2} d x