Indefinite Integration PYQs - Last 5 Years
MHT CET / Mathematics / Calculus / 219 recent questions
MathematicsCalculus2022-2026
Practice 219 MHT CET Mathematics questions from Indefinite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
219
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Mathematics / Calculus
2022-2026
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219
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2022-2026
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2017-2026
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219 in last 5 years219 in last 10 years
Last 5 Years Indefinite Integration Questions
Showing 19 of 219 filtered questions.
1Indefinite Integration
\(\int \frac{\log (\cot x)}{\sin 2 x} d x=\)
MCQ+2 / -02023
2Indefinite Integration
If \(\int \frac{\mathrm{d} x}{x \sqrt{1-x^3}}=\mathrm{k} \log \left(\frac{\sqrt{1-x^3}-1}{\sqrt{1-x^3}+1}\right)+\mathrm{c}\), (where \(\mathrm{c}\) is a constant of integration), then value of \(\mathrm{k}\) is
MCQ+2 / -02023
3Indefinite Integration
\(\int \frac{\mathrm{e}^x(1+x)}{\cos ^2\left(\mathrm{e}^x \cdot x\right)} \mathrm{d} x=\)
MCQ+2 / -02023
4Indefinite Integration
If \(\mathrm{I}=\int \sin (\log (x)) \mathrm{d} x\), then \(\mathrm{I}\) is given by
MCQ+2 / -02023
5Indefinite Integration
The value of \(\int(1-\cos x) \cdot \operatorname{cosec}^2 x d x\) is
MCQ+2 / -02023
6Indefinite Integration
If \(\int \frac{\cos 8 x+1}{\cot 2 x-\tan 2 x} \mathrm{~d} x=\mathrm{A} \cos 8 x+\mathrm{c}\), where \(\mathrm{c}\) is an arbitrary constant, then the value of \(\mathrm{A}\) is
MCQ+2 / -02023
7Indefinite Integration
\(\int x \sqrt{\frac{2 \sin \left(x^2+1\right)-\sin 2\left(x^2+1\right)}{2 \sin \left(x^2+1\right)+\sin 2\left(x^2+1\right)}} d x=\)
MCQ+2 / -02023
8Indefinite Integration
If \(\mathrm{I}=\int \frac{\mathrm{d} x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}\), then \(\mathrm{I}\) is
MCQ+2 / -02023
9Indefinite Integration
\(\int \frac{d x}{\sin x+\cos x}=\)
MCQ+2 / -02023
10Indefinite Integration
\(\int \frac{1}{7-6 x-x^2} d x=\)
MCQ+2 / -02023
11Indefinite Integration
If \(\int \sqrt{\frac{x-7}{x-9}} d x=A \sqrt{x^2-16 x+63}+\log \left|(x-8)+\sqrt{x^2-16 x+63}\right|+c,\)
(where \(\mathrm{c}\) is a constant of integration) then \(\mathrm{A}\) is
(where \(\mathrm{c}\) is a constant of integration) then \(\mathrm{A}\) is
MCQ+2 / -02023
12Indefinite Integration
\(\int \mathrm{e}^x\left(1-\cot x+\cot ^2 x\right) \mathrm{d} x=\)
MCQ+2 / -02023
13Indefinite Integration
The value of \(\int \frac{\left(x^2-1\right) d x}{x^3 \sqrt{2 x^4-2 x^2+1}}\) is
MCQ+2 / -02023
14Indefinite Integration
\(\int \frac{5 \tan x}{\tan x-2} \mathrm{~d} x=x+\mathrm{a} \log |\sin x-2 \cos x|+\mathrm{c},\)
(where \(c\) is a constant of integration), then the value of \(a\) is
(where \(c\) is a constant of integration), then the value of \(a\) is
MCQ+2 / -02023
15Indefinite Integration
The value of \(\int \frac{\mathrm{d} x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}\) is
MCQ+2 / -02023
16Indefinite Integration
\(\int \frac{3 x-2}{(x+1)(x-2)^2} \mathrm{~d} x=\)
(where \(C\) is a constant of integration)
(where \(C\) is a constant of integration)
MCQ+2 / -02022
17Indefinite Integration
\(\text { If } \int e^{x^2} \cdot x^3 \mathrm{~d} x=e^{x^2} \cdot[f(x)+C]\)
(where \(C\) is a constant of integration.) and \(f(1)=0\), then value of \(f(2)\) will be
(where \(C\) is a constant of integration.) and \(f(1)=0\), then value of \(f(2)\) will be
MCQ+2 / -02022
18Indefinite Integration
If \(f(x)=\sqrt{\tan x}\) and \(g(x)=\sin x \cdot \cos x\) then \(\int \frac{f(x)}{g(x)} \mathrm{d} x\) is equal to (where \(C\) is a constant of integration)
MCQ+2 / -02022
19Indefinite Integration
\(\int \frac{\sin \frac{5 x}{2}}{\sin \frac{x}{2}} d x=\)
(where \(C\) is a constant of integration.)
(where \(C\) is a constant of integration.)
MCQ+2 / -02022