Definite Integration questions
424 published questions with worked solutions.
- If f(x) is an antiderivative of x+1 x-1 with respect to x then value of f(5)-f(2) is...
- If f(x)=|5x-3| is defined on interval [0, 1] then the value of _ 0 ^ 1 f(x) ,dx is...
- The value of _2^4( x +[x])dx= ....(where x and [x] are the fractional part function and the greatest integer function,...
- _0^ /2 dx 1+( x)^ 101 =
- _ -2 ^ 2 |x^2 - x - 2 |dx =
- The value of _ -1 ^ 1 ( 1 + x + x^2 - 1 - x + x^2 )dx is
- If _ - /2 ^ /2 ( ^2x+ ^3x)dx=k, then the value of k
- If [x] denotes the greatest integer less than or equal to x, then the value of the integral _0^2x^2[x]dx is equal to
- _2^4 x^2 x^2 + (36 - 12x + x^2) ,dx is equal to
- The value of _0^2 [x^2] ,dx is (where [x] denotes the greatest integer function not greater than x)
- _ /3 ^ 2 /3 x 1+ x ,dx=
- _ - /2 ^ /2 (x^2+ ( -x +x ) ) x ,dx=
- _0^1 ( 1x-1 )dx=
- The value of _0^1 ^ -1 (1-x+x^2) ,dx is
- _3^5 x ,dx 8-x + x =
- _ 1 2 ^ 2 ( e^x - 1 e^x + 1 )dx =
- _1^3 x^2 (16x^2-8x^3+x^4) dx= _____
- _0^1 x |x- 1 2 |dx =
- _0^ /2 300 x + 100 x x + x ,dx = ..
- _ 1/2 ^ 2 1x cosec ^ 101 (x- 1x )dx=
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration