JEE Main 2019 — Indefinite Integration Questions with Solutions

Let, n ≥ 2 be a natural number and 0 < θ < π 2 . Then ∫ s i n n θ - s i n θ 1 n…

If ∫ x+1√(2 x-1) ~d x=f(x) √(2 x-1)+C, where C is a constant of integration, then f(x) is equal to:

If ∫ d x x 2 - 2 x + 10 2 = A tan - 1 x - 1 3 + f x x 2 - 2 x + 10 + C , then (where C is a constant of integrati…

The integral ∫ c o s lnx d x , is equal to

∫ s e c 2 x · cot 4 3 x d x is equal to

For, x 2 ≠ n π + 1 ,   n ∈ N (the set of natural numbers), the integral ∫ x 2 sin x 2 - 1 -…

Let α ∈ ( 0 , π 2 )   , be constant.If the integral ∫ t a n x + t a n α t a n x - tan &…

If ∫ x 5 e - 4 x 3 d x = 1 48 e - 4 x 3 f x + C , where C is a constant of integration, then f x is equal to

If ∫ 1-x²x⁴ d x=A(x) (1-x² )m+C, for a suitable chosen integer m and a function A(x), where C is a constant of integrat…

If ∫ d x x 3 1 + x 6 2 3   = x f x 1 + x 6 1 3 + C , where C is a constant of integration, then the function…