Teachoo MCQ Test

NCERT Exemplar MCQ Quiz

Preparing for CBSE

Chapter 7 Class 12 Integrals | 7 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 7
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Question 1 of 7
NCERT Exemplar
If \(\int_0^1 \frac{e^t}{1+t} d t=a\), then \(\int_0^1 \frac{e^t}{(1+t)^2} d t\) is equal to
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Question 2 of 7
NCERT Exemplar
If \(\int \frac{d x}{(x+2)\left(x^2+1\right)}=a \log \left|1+x^2\right|+b \tan ^{-1} x+\frac{1}{5} \log |x+2|+\mathrm{C}\), then
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Question 3 of 7
NCERT Exemplar
\(\int \frac{\cos 2 x-\cos 2 \theta}{\cos x-\cos \theta} d x\) is equal to
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Question 4 of 7
NCERT Exemplar
\(\int \frac{x^3}{x+1}\) is equal to
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Question 5 of 7
NCERT Exemplar
\(\quad \int_0^{\frac{\pi}{2}} \sqrt{1-\sin 2 x} d x\) is equal to
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Question 6 of 7
NCERT Exemplar
If \(x=\int_0^y \frac{d t}{\sqrt{1+9 t^2}}\) and \(\frac{d^2 y}{d x^2}=a y\), then \(a\) is equal to
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Question 7 of 7
NCERT Exemplar
\(\quad \int_{-2}^2|x \cos \pi x| d x\) is equal to
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