Teachoo MCQ Test

Short Quiz

Chapter 7 Class 12 Integrals | 5 questions

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Question 1 of 5
Question 1 of 5
CBSE Board Exam 2025
If \(\int_0^{\mathrm{a}} x \mathrm{~d} x \leq \frac{\mathrm{a}}{2}+6\), then
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Question 2 of 5
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 3 of 5
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 4 of 5
NCERT Exemplar
\( \int \frac{d x}{\sin ^2 x \cos ^2 x}\) is equal to
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Question 5 of 5
NCERT Exemplar
If \(\int \frac{3 e^x-5 e^{-x}}{4 e^x+5 e^{-x}} d x=a x+b \log \left|4 e^x+5 e^{-x}\right|+\mathrm{C}\), then
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