정적분 및 가적분 계산기

이 계산기는 단계별 풀이를 보여 주면서 상한과 하한이 있는 정적분(진정적분 포함)을 계산하려고 시도합니다.

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Integrate with respect to:

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If you need `-oo`, type -inf.

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If you need `oo`, type inf.

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Solution

Your input: calculate $$$\int_{e o r z}^{e n o}\left( -1 \right)dx$$$

First, calculate the corresponding indefinite integral: $$$\int{\left(-1\right)d x}=- x$$$ (for steps, see indefinite integral calculator)

According to the Fundamental Theorem of Calculus, $$$\int_a^b F(x) dx=f(b)-f(a)$$$, so just evaluate the integral at the endpoints, and that's the answer.

$$$\left(- x\right)|_{\left(x=e n o\right)}=- e n o$$$

$$$\left(- x\right)|_{\left(x=e o r z\right)}=- e o r z$$$

$$$\int_{e o r z}^{e n o}\left( -1 \right)dx=\left(- x\right)|_{\left(x=e n o\right)}-\left(- x\right)|_{\left(x=e o r z\right)}=- e n o + e o r z$$$

Answer: $$$\int_{e o r z}^{e n o}\left( -1 \right)dx=- e n o + e o r z$$$

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정적분 및 가적분 계산기

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Solution