Question types

Indefinite Integration question types

319 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

319
Questions
6
Question groups
5
Question types
Sample Questions

Indefinite Integration questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
$\int \frac{e^{2 x}+e^{-2 x}}{e^x} \cdot d x=$
  • $e^x-\frac{1}{3 e^{3 x}}+c$
  • B
    $e^x+\frac{1}{3 e^{3 x}}+c$
  • C
    $e^{-x}+\frac{1}{3 e^{3 x}}+c$
  • D
    $e^{-x}-\frac{1}{3 e^{3 x}}+c$

Answer: A.

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Q 2MCQ1 Mark
$\int \frac{\cos 2 x-1}{\cos 2 x+1} \cdot d x=$
  • A
    tan x – x + c
  • B
    x + tan x + c
  • x – tan x + c
  • D
    -x – cot x + c

Answer: C.

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Q 3MCQ1 Mark
$\int[\sin (\log x)+\cos (\log x)] \cdot d x=$
  • A
    x cos(log x) + c
  • B
    sin(log x) + c
  • C
    cos(log x) + c
  • x sin(log x) + c

Answer: D.

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Q 4MCQ1 Mark
$\int \frac{\log x}{(\log e x)^2} \cdot d x=$
  • $\frac{x}{1+\log x}+c$
  • B
    $x(1+\log x)+c$
  • C
    $\frac{1}{1+\log x}+c$
  • D
    $\frac{1}{1-\log x}+c$

Answer: A.

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Q 5MCQ1 Mark
$\int \frac{d x}{\cos x \sqrt{\sin ^2 x-\cos ^2 x}} \cdot d x=$
  • A
    $\log \left(\tan x-\sqrt{\tan ^2 x-1}\right)+c$
  • B
    $\sin ^{-1}(\tan x)+c$
  • C
    $1+\sin ^{-1}(\cot x)+c$
  • D
    $\log \left(\tan x+\sqrt{\tan ^2 x-1}\right)+c$
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Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

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