Nếu <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-msubsup" id="MJXp-Span-3"><span class="MJXp-mo" id="MJXp-Span-4" style="margin-left: 0em; margin-right: 0.05em;">∫</span><span class="MJXp-script-box" style="height: 1.86em; vertical-align: -0.64em;"><span class=" MJXp-script"><span><span style="margin-bottom: -0.25em;"><span class="MJXp-mrow" id="MJXp-Span-7"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-8">m</span></span></span></span></span><span class=" MJXp-script"><span><span style="margin-top: -0.85em;"><span class="MJXp-mrow" id="MJXp-Span-5"><span class="MJXp-mn" id="MJXp-Span-6">0</span></span></span></span></span></span></span><span class="MJXp-mo" id="MJXp-Span-9" style="margin-left: 0em; margin-right: 0em;">(</span><span class="MJXp-mn" id="MJXp-Span-10">2</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-11">x</span><span class="MJXp-mo" id="MJXp-Span-12" style="margin-left: 0.267em; margin-right: 0.267em;">−</span><span class="MJXp-mn" id="MJXp-Span-13">1</span><span class="MJXp-mo" id="MJXp-Span-14" style="margin-left: 0em; margin-right: 0em;">)</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-15">d</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-16">x</span><span class="MJXp-mo" id="MJXp-Span-17" style="margin-left: 0.333em; margin-right: 0.333em;">=</span><span class="MJXp-mn" id="MJXp-Span-18">2</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-msubsup"><span class="mjx-base" style="margin-right: -0.138em;"><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 class="mjx-stack" style="vertical-align: -0.366em;"><span class="mjx-sup" style="font-size: 70.7%; padding-bottom: 0.579em; padding-left: 0.324em; padding-right: 0.071em;"><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: 0.199em; padding-bottom: 0.298em;">m</span></span></span></span></span><span class="mjx-sub" style="font-size: 70.7%; padding-right: 0.071em;"><span id="MJXc-Node-7" class="mjx-texatom" style=""><span id="MJXc-Node-8" class="mjx-mrow"><span id="MJXc-Node-9" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">0</span></span></span></span></span></span></span><span id="MJXc-Node-13" 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-14" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">2</span></span><span id="MJXc-Node-15" 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-16" class="mjx-mo MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.445em;">−</span></span><span id="MJXc-Node-17" class="mjx-mn MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">1</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 id="MJXc-Node-21" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.101em; padding-bottom: 0.298em;">=</span></span><span id="MJXc-Node-22" class="mjx-mn MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">2</span></span></span></span></span></span></span><script type="math/tex" id="MathJax-Element-1">\Large \int_{0}^{m}(2 x-1) d x=2</script> thì m có giá trị bằng $\Large \

Nếu $\Large \int_{0}^{m}(2 x-1) d x=2$ thì m có giá trị bằng $\Large \

4.5/5

Tác giả: Thầy Tùng

Đăng ngày: 18 Aug 2022

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Lời giải chi tiết

Câu hỏi:

Nếu $\Large \int_{0}^{m}(2 x-1) d x=2$ thì m có giá trị bằng

A. $\Large \left[\begin{array}{l} m=1 \\ m=-2 \end{array}\right.$
B. $\Large \left[\begin{array}{l} m=1 \\ m=2 \end{array}\right.$
C. $\Large \left[\begin{array}{l} m=-1 \\ m=2 \end{array}\right.$
D. $\Large \left[\begin{array}{l} m=-1 \\ m=-2 \end{array}\right.$

Đáp án án đúng là: C

Lời giải chi tiết:

Chọn C

Ta có: $\Large \int_{0}^{m}(2 x-1) d x=\left.2 \Leftrightarrow\left(x^{2}-x\right)\right|_{0} ^{m}=2 \Leftrightarrow m^{2}-m=2 \Leftrightarrow\left[\begin{array}{l} m=-1 \\ m=2 \end{array}\right.$

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