Tích phân <span class="MathJax_Preview" style="color: inherit;"><span class="MJXp-math" id="MJXp-Span-1"><span class="MJXp-mstyle" id="MJXp-Span-2"><span class="MJXp-munderover" id="MJXp-Span-3"><span><span class="MJXp-over"><span class=" MJXp-script"><span class="MJXp-mrow" id="MJXp-Span-7" style="margin-right: 0px; margin-left: 0px;"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-8">b</span></span></span><span class=""><span class="MJXp-mo" id="MJXp-Span-4" style="margin-left: 0em; margin-right: 0.111em;">∫</span></span></span></span><span class=" MJXp-script"><span class="MJXp-mrow" id="MJXp-Span-5" style="margin-left: 0px;"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-6">a</span></span></span></span><span class="MJXp-mrow" id="MJXp-Span-9"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-10">f</span><span class="MJXp-mo" id="MJXp-Span-11" style="margin-left: 0em; margin-right: 0em;">(</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-12">x</span><span class="MJXp-mo" id="MJXp-Span-13" style="margin-left: 0em; margin-right: 0em;">)</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-14">d</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-15">x</span></span></span></span></span><span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML MJXc-processed" tabindex="0" style="font-size: 127%;"><span id="MJXc-Node-1" class="mjx-math"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-mstyle"><span id="MJXc-Node-4" class="mjx-mrow" style="font-size: 144%;"><span id="MJXc-Node-5" class="mjx-munderover"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-stack"><span class="mjx-over" style="font-size: 70.7%; padding-bottom: 0.247em; padding-top: 0.141em; padding-left: 0.379em;"><span id="MJXc-Node-10" class="mjx-texatom" style=""><span id="MJXc-Node-11" class="mjx-mrow"><span id="MJXc-Node-12" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.495em; padding-bottom: 0.298em;">b</span></span></span></span></span><span class="mjx-op"><span id="MJXc-Node-6" class="mjx-mo" style="padding-right: 0.138em;"><span class="mjx-char MJXc-TeX-size1-R" style="padding-top: 0.593em; padding-bottom: 0.593em;">∫</span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em; padding-left: 0.005em;"><span id="MJXc-Node-7" class="mjx-texatom" style=""><span id="MJXc-Node-8" class="mjx-mrow"><span id="MJXc-Node-9" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em;">a</span></span></span></span></span></span></span></span><span id="MJXc-Node-13" class="mjx-texatom MJXc-space1"><span id="MJXc-Node-14" class="mjx-mrow"><span id="MJXc-Node-15" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.495em; padding-bottom: 0.495em; padding-right: 0.06em;">f</span></span><span id="MJXc-Node-16" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.445em; padding-bottom: 0.593em;">(</span></span><span id="MJXc-Node-17" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em;">x</span></span><span id="MJXc-Node-18" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.445em; padding-bottom: 0.593em;">)</span></span><span id="MJXc-Node-19" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.495em; padding-bottom: 0.298em; padding-right: 0.003em;">d</span></span><span id="MJXc-Node-20" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em;">x</span></span></span></span></span></span></span></span></span><script type="math/tex" id="MathJax-Element-1">\Large \int\limits_{a}^{b}{f(x)dx}</script> được phân tích thành: A

Tích phân $\Large \int\limits_{a}^{b}{f(x)dx}$ được phân tích thành: A

4.1/5

Tác giả: Thầy Tùng

Đăng ngày: 18 Aug 2022

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Lời giải chi tiết

Câu hỏi:

Tích phân $\Large \int\limits_{a}^{b}{f(x)dx}$ được phân tích thành:

A.
A. $\Large \int\limits_{c}^{b}{f(x)+\int\limits_{c}^{a}{-f(x)dx}}$
B.
B. $\Large \int\limits_{c}^{b}{f(x)-\int\limits_{c}^{a}{-f(x)dx}}$
C.
C. $\Large \int\limits_{c}^{b}{f(x)dx+\int\limits_{c}^{a}{f(x)dx}}$
D.
D. $\Large -\int\limits_{c}^{b}{f(x)dx+\int\limits_{c}^{a}{f(x)dx}}$

Đáp án án đúng là: A

Lời giải chi tiết:

Tích phân $\Large \int\limits_{a}^{b}{f(x)dx}$ được phân tích thành

Ta có: $\Large \int\limits_{a}^{b}{f(x)dx=\int\limits_{c}^{b}{f(x)dx+\int\limits_{a}^{c}{f(x)dx=\int\limits_{c}^{b}{f(x)dx-\int\limits_{c}^{a}{f(x)dx}}}}}$

Chọn A

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