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BITSAT Definite Integration PYQs with Solutions

22 previous year questions from Definite Integration (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

22 questionsMathematics2009–2024Answers + solutions

About Definite Integration PYQs

Definite Integration has 22 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 22 questions in this list come from BITSAT (22), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

2024: 6
2023: 1
2021: 2
2020: 2
2019: 1
2018: 1
2017: 1
2014: 1
2013: 1
2012: 1
2011: 2
2010: 1

Definite Integration questions with solutions

∫_0^ ∞ (d x)/((x^2+a^2)(x^2+b^2)) is

BITSAT 2024 Solution View → 2

The value of definite integral ∫_0^ π / 2 ( x) d x is

BITSAT 2024 Solution View → 3

∫_5^9 ( 3 x^2)/( 3 x^2+ (588-84 x+3 x^2)) d x is equal to

BITSAT 2024 Solution View → 4

The integral ∫ (x^2(x ^2 x+ x))/((x x+1)^2) d x is equal to

BITSAT 2024 Solution View → 5

_ n arrow ∞ ∏_ r=3 ^ ∞ (r^3-8)/(r^3+8) equals to

BITSAT 2024 Solution View → 6

∫_0^ (π)/(2) ( ((π)/(4)+x)+ ((3 π)/(4)+x))/( x+ x) d x=

BITSAT 2024 Solution View → 7

∫_0^ π / 4 x e^ x d x is equal to

BITSAT 2023 Solution View → 8

∫_ -a ^ 4 (x^ 8 -x^ 4 +x^ 2 +1) d x=2 ∫_ 0 ^ 4 (x^ 8 -x^ 4 +x^ 2 +1) d x then a=

BITSAT 2021 Solution View → 9

Evaluate: ∫_ 0 ^ π (1)/(5+4 x) d x

BITSAT 2021 Solution View → 10

∫_ 0 ^ ∞ dx ( ^ 2 + ^ 2 )( ^ 2 + ^ 2 ) is

BITSAT 2020 Solution View → 11

∫_ π / 3 ^ π / 2 x (π[x]-x) dx is equal to

BITSAT 2020 Solution View → 12

Suppose the limit L = _ n → ∞ n ∫ _ 0 ^ 1 1 (1 + x^ 2 )n dx exists and is larger than (1)/(2) , then

BITSAT 2019 Solution View → 13

The value of ∫ _ 0 ^ 1 ^ -1 (1 - x + x^ 2 )dx is

BITSAT 2018 Solution View → 14

The expression ∫ _ 0 ^ n [x]dx ∫ _ 0 ^ n \ x\ dx , where [x] and \ x\ are integral and fractional part of x and n ∈ ℕ , is equal to

BITSAT 2017 Solution View → 15

∫_ 0 ^ 10 x^ 10 (10-x)^ 10 +x^ 10 d x is equal to

BITSAT 2014 Solution View → 16

Elvaluate ∫_ 0 ^ π / 2 x 1+ ^ 2 x d x

BITSAT 2013 Solution View → 17

∫_ 0 ^ π / 2 2^ x 2^ x +2^ x d x equals

BITSAT 2012 Solution View → 18

Find the value of \(∫_0^ 4 π | x| d x\)

BITSAT 2011 Solution View → 19

Let \( I _ 1 =∫_1^2 1 1+x^2 dx\) and \( I _ 2 =∫_1^2 (1)/(x) d x\), then

BITSAT 2011 Solution View → 20

\(∫4 (x+(π)/(6)) 2 x · ((5 π)/(6)+ x) d x\)

BITSAT 2010 Solution View → 21

Evaluate: \( ^ -1 x d x\)

BITSAT 2009 Solution View → 22

Evaluate : \(∫_0^1 dx 2-x^2 \).

BITSAT 2009 Solution View →

Practice all Definite Integration questions in the app →

Related BITSAT Mathematics chapters

Application of Derivatives (67)Sequences and Series (51)Probability (44)Three Dimensional Geometry (40)Functions (39)Binomial Theorem (34)Permutation and Combination (31)Complex Number (30)Circle (27)Differential Equations (27)Straight Lines (27)Vector Algebra (25)

Definite Integration in other exams

JEE Definite Integration (692)NDA Definite Integration (110)