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BITSAT Indefinite Integration PYQs with Solutions

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

21 questionsMathematics2009–2024Answers + solutions

About Indefinite Integration PYQs

Indefinite Integration has 21 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 21 questions in this list come from BITSAT (21), 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: 1
  • 2023: 4
  • 2022: 2
  • 2021: 4
  • 2019: 1
  • 2018: 1
  • 2017: 1
  • 2014: 1
  • 2013: 1
  • 2012: 1
  • 2011: 1
  • 2010: 1

Indefinite Integration questions with solutions

1

The value of ∫ e^ θ ( θ- θ) d θ is

BITSAT 2024 Solution
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2

∫ ^ -1 x dx is equal to

BITSAT 2023 Solution
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3

Value of ∫ d x x(a-x) is

BITSAT 2023 Solution
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4

If ∫ ^ x (1+ x) dx 1+ x = ^ x f(x)+C , then f(x) is equal to

BITSAT 2023 Solution
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5

∫ (x+3)/((x+4)^2) e^x d x is equal to

BITSAT 2023 Solution
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6

The value of ∫ 1 [(x-1)^3(x+2)^5]^ (1)/(4) d x , is

BITSAT 2022 Solution
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7

Let f(x)=∫ x^2 d x (1+x^2)(1+ .1+x^2) . and f(0)=0 , then the value of f(1) be

BITSAT 2022 Solution
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8

If ∫ ( x)/( (x-α)) d x=A x+B (x-α)+C , then value of (A, B) is

BITSAT 2021 Solution
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9

The value of ∫ ( x) d x is :

BITSAT 2021 Solution
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10

∫ e^ x (1+x) ^ 2 (e^ x x) dx equals

BITSAT 2021 Solution
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11

If ∫ (3 x+1)/((x-3)(x-5)) d x=∫ (-5)/((x-3)) d x+∫ (B)/((x-5)) d x then the value of B is

BITSAT 2021 Solution
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12

The integral ∫ (1 + x - (1)/(x))e^ x + (1)/(x) dx is equal to

BITSAT 2019 Solution
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13

Let P(x) = ∫ dx e^ x + 8e^ - x + 4e^ - 3x , Q(x) = ∫ dx e^ 3x + 8e^ x + 4e^ - x and R (x) = P (x) - 2Q (x) . If R(x) = (1)/(2) A ( B + 2e^ - x C ) +K,then the value of (A, B, C)&

BITSAT 2018 Solution
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14

If ∫ ( x ) ^ 5 dx ( x ) ^ 7 + x^ 6 = ( x9 x^ 9 + 1 ) + C , then a + λ equal to

BITSAT 2017 Solution
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15

Evaluate: ∫ 1 1+3 ^ 2 x+8 ^ 2 x dx

BITSAT 2014 Solution
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16

∫ ( ^ 2 -1) ( ^ 2 +1) ^ 4 +1 dx is equal to

BITSAT 2013 Solution
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17

Evaluate: ∫ x 4- ^ 3 dx

BITSAT 2012 Solution
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18

Evaluate \(∫ (x^2)/(x^2-1) d x\)

BITSAT 2011 Solution
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19

The slope of the tangent to the hyperbola \(2 x²-3 y²=6\) at \((3,2)\) is

BITSAT 2010 Solution
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20

The equation of tangent to the curve \(y= x\) at the point \((π, 0)\) is

BITSAT 2009 Solution
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21

If \( ∫ (2 x- x+λ)/( x+ x-2) d x\) \(=A | x+ x-2|+B x+C\). Then the ordered triplet \(A, B, λ\) is -

BITSAT 2009 Solution
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