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MCQ

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10 questions · auto-graded multiple-choice test.

MCQ 21 Mark
$\int_a^b f(x) d x=$
  • A
    $\int_b^a f(x) d x$
  • B
    $-\int_a^b f(x) d x$
  • $-\int_b^a f(x) d x$
  • D
    $\int_0^a f(x) d x$
Answer
Correct option: C.
$-\int_b^a f(x) d x$
(c) $-\int_b^a f(x) d x$
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MCQ 41 Mark
$\int_2^3 x^4 dx =$
  • A
    $\frac{1}{2}$
  • B
    $\frac{5}{2}$
  • C
    $\frac{5}{211}$
  • $\frac{211}{5}$
Answer
Correct option: D.
$\frac{211}{5}$
(d) $\frac{211}{5}$
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MCQ 71 Mark
$\int_2^3 \frac{x}{x^2-1} d x=$
  • A
    $\log \left(\frac{8}{3}\right)$
  • B
    $-\log \left(\frac{8}{3}\right)$
  • $\frac{1}{2} \log \left(\frac{8}{3}\right)$
  • D
    $\frac{-1}{2} \log \left(\frac{8}{3}\right)$
Answer
Correct option: C.
$\frac{1}{2} \log \left(\frac{8}{3}\right)$
(C) $\frac{1}{2} \log \left(\frac{8}{3}\right)$
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MCQ 81 Mark
$\int_{-2}^3 \frac{d x}{x+5}=$
  • A
    $-\log \left(\frac{8}{3}\right)$
  • $\log \left(\frac{8}{3}\right)$
  • C
    $\log \left(\frac{3}{8}\right)$
  • D
    $-\log \left(\frac{3}{8}\right)$
Answer
Correct option: B.
$\log \left(\frac{8}{3}\right)$
(b) $\log \left(\frac{8}{3}\right)$
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MCQ 91 Mark
$\int_2^7 \frac{\sqrt{x}}{\sqrt{x}+\sqrt{9-x}} d x=$
  • A
    $\frac{7}{2}$
  • $\frac{5}{2}$
  • C
    $7$
  • D
    $2$
Answer
Correct option: B.
$\frac{5}{2}$
(b) $\frac{5}{2}$
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