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Previous year question hub

Indefinite Integrals - Calculus - Mathematics Previous Year Questions

Practice Indefinite Integrals - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

14Papers
14Years
14Questions
1Topics

Indefinite Integrals question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Indefinite Integrals. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 9 64.3%
Hard 4 28.6%
Easy 1 7.1%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Subjective 13 92.9%
Fill in the blanks 1 7.1%

Subject weightage

Top subjects by unique question coverage.

Mathematics
14 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
14 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Indefinite Integrals
14 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

IIT JEE 2002
1 Qs
IIT JEE 2001
1 Qs
IIT JEE 1999
1 Qs
IIT JEE 1996
1 Qs
IIT JEE 1994
1 Qs
IIT JEE 1990
1 Qs
IIT JEE 1989
1 Qs
IIT JEE 1987
1 Qs
IIT JEE 1985
1 Qs
IIT JEE 1984
1 Qs
IIT JEE 1983
1 Qs
IIT JEE 1981
1 Qs
IIT JEE 1979
1 Qs
IIT JEE 1978
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
IIT JEE 200220021View paper
IIT JEE 200120011View paper
IIT JEE 199919991View paper
IIT JEE 199619961View paper
IIT JEE 199419941View paper
IIT JEE 199019901View paper
IIT JEE 198919891View paper
IIT JEE 198719871View paper
IIT JEE 198519851View paper
IIT JEE 198419841View paper
IIT JEE 198319831View paper
IIT JEE 198119811View paper
IIT JEE 197919791View paper
IIT JEE 197819781View paper

All Indefinite Integrals previous year questions

Practice every matching question in batches of 20, with every available option.

1
1978 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1978
Evaluate \(\int {{{\sin x} \over {\sin x - \cos x}}dx}\)
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2
1979 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1979
Evaluate \(\int {{{{x^2}dx} \over {{{\left( {a + bx} \right)}^2}}}}\)
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3
1981 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1981
Evaluate \(\int {\left( {{e^{\log x}} + \sin x} \right)\cos x\,\,dx.}\)
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4
1983 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1983
Evaluate : \(\int {{{\left( {x - 1} \right){e^x}} \over {{{\left( {x + 1} \right)}^3}}}dx}\)
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5
1984 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1984
Evaluate the following \(\int {{{dx} \over {{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}}\)
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6
1985 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1985
Evaluate the following \(\int {\sqrt {{{1 - \sqrt x } \over {1 + \sqrt x }}dx} }\)
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7
1987 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1987
Evaluate :\(\,\,\int {\left[ {{{{{\left( {\cos 2x} \right)}^{1/2}}} \over {\sin x}}} \right]dx}\)
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8
1989 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1989
Evaluate \(\int {\left( {\sqrt {\tan x} + \sqrt {\cot x} } \right)dx}\)
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9
1990 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1990
If \(\int {{{4{e^x} + 6{e^{ - x}}} \over {9{e^x} - 4{e^{ - x}}}}\,dx = Ax + B\,\,\log \left( {9{e^{2x}} - 4} \right) + C,}\) then
\(A = .....,B = .....\) and \(C = .....\)
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10
1994 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1994
Find the indefinite integral \(\,\int {\cos 2\theta {\mkern 1mu} ln\left( {{{\cos \theta + \sin \theta } \over {\cos \theta - \sin \theta }}} \right)} {\mkern 1mu} d\theta\)
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11
1996 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1996
Evaluate \(\int {{{\left( {x + 1} \right)} \over {x{{\left( {1 + x{e^x}} \right)}^2}}}dx}\).
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12
1999 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 1999
Integrate \(\int {{{{x^3} + 3x + 2} \over {{{\left( {{x^2} + 1} \right)}^2}\left( {x + 1} \right)}}dx.}\)
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13
2001 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 2001
Evaluate \(\int {{{\sin }^{ - 1}}\left( {{{2x + 2} \over {\sqrt {4{x^2} + 8x + 13} }}} \right)} \,dx.\)
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14
2002 · Mathematics · Calculus · Indefinite Integrals
IIT JEE 2002
For any natural number \(m\), evaluate
$$\int {\left( {{x^{3m}} + {x^{2m}} + {x^m}} \right){{\left( {2{x^{2m}} + 3{x^m} + 6} \right)}^{l/m}}dx,x > 0.}$$
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