Definite Integration — BITSAT Mathematics PYQs

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

22 questionsMathematicsSolutions on every page

Suppose the limit L = lim n → ∞ n ∫ 0 1 1 1 + x 2 n d x exists and is larger than 1 2 , then

BITSAT 2019 Solution View → 13

The value of ∫ 0 1 cot - 1 1 - x + x 2 d x is

BITSAT 2018 Solution View → 14

The expression ∫ 0 n x d x ∫ 0 n x d x , where x and x are integral and fractional part of x and n ∈ N , is equal to

BITSAT 2017 Solution View → 15

₀¹⁰ x¹⁰ (10-x)¹⁰+x¹⁰ d x is equal to

BITSAT 2014 Solution View → 16

Elvaluate ₀^ / 2 x 1+ ² x d x

BITSAT 2013 Solution View → 17

₀^ / 2 2^ x 2^ x +2^ x d x equals

BITSAT 2012 Solution View → 18

Find the value of ( ₀^ 4 | 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+ 6 ) 2 x ( 5 6 +x ) d x )

BITSAT 2010 Solution View → 21

Evaluate: ( x ⁻¹ x d x )

BITSAT 2009 Solution View → 22

Evaluate : ( ₀^1 dx 2- x ^2 ).

BITSAT 2009 Solution View →

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Definite Integration — BITSAT Mathematics PYQs

₀^ d x (x^2+a^2 ) (x^2+b^2 ) is

The value of definite integral ₀^ / 2 ( x) d x is

₅^9 3 x^2 3 x^2+ (588-84 x+3 x^2 ) d x is equal to

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

_ n _ r=3 ^ r^3-8 r^3+8 equals to

₀^ 2 ( 4 +x )+ ( 3 4 +x ) x+ x d x=

₀^ / 4 x e^ x d x is equal to

_ -a ⁴ (x⁸-x⁴+x²+1 ) d x=2 ₀⁴ (x⁸-x⁴+x²+1 ) d x then a=

Evaluate: ₀^ 1 5+4 x d x

₀^ dx ( x ²+ a ² ) ( x ²+ b ² ) is

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

Suppose the limit L = lim n &#8594; &#8734; n &#8747; 0 1 1 1 + x 2 n d x exists and is larger than 1 2 , then

The value of &#8747; 0 1 cot - 1 1 - x + x 2 d x is

The expression &#8747; 0 n x d x &#8747; 0 n x d x , where x and x are integral and fractional part of x and n &#8712; N , is equal to