JEE Advanced questions

3844 published questions with worked solutions.

• Let f(x) = (2 - x) + (x) and ''(x) < 0 for x [0, 2]. Then
  JEE Advanced · Mathematics · Application of Derivatives
• Let f'(x) > 0 and g'(x) < 0 for all x R. Then
  JEE Advanced · Mathematics · Application of Derivatives
• Let f(x) = 2x^2 - |x|, x 0. Then f(x) is
  JEE Advanced · Mathematics · Application of Derivatives
• Let f(x) = x^3 - 6x^2 + 15x + 3. Then
  JEE Advanced · Mathematics · Application of Derivatives
• Let f(x) = a_5x^5 + a_4x^4 + a_3x^3 + a_2x^2 + a_1x, where a_i's are real and f(x) = 0 has a positive root _0. Then
  JEE Advanced · Mathematics · Application of Derivatives
• If (x) = ^4 x ,dx + 1 3 ^3 x - x and ! ( 2 ) = 2 , then (x) is
  JEE Advanced · Mathematics · Indefinite Integration
• Integral of f(x) = 1 + x^2 with respect to x^2 is
  JEE Advanced · Mathematics · Indefinite Integration
• d(x^2 + 1) x^2 + 2 is equal to
  JEE Advanced · Mathematics · Indefinite Integration
• 2 ^ -1 1 - x 1 + x dx is equal to
  JEE Advanced · Mathematics · Indefinite Integration
• x^x(1 + x) ,dx is equal to
  JEE Advanced · Mathematics · Indefinite Integration
• Let the equation of a curve passing through the point (0, 1) be given by y = x^2 e^ x^3 ,dx. If the equation of the curve is...
  JEE Advanced · Mathematics · Indefinite Integration
• x ,dx 1 + x^4 is equal to
  JEE Advanced · Mathematics · Indefinite Integration
• The antiderivative of 2^x 1 - 4^x w.r.t. x is
  JEE Advanced · Mathematics · Indefinite Integration
• (1 + x)^2 x + x^3 ,dx is equal to
  JEE Advanced · Mathematics · Indefinite Integration
• x^ 5/2 1 + x^7 ,dx is
  JEE Advanced · Mathematics · Indefinite Integration
• dx x^ 1/5 (1 + x^ 4/5 )^ 1/2 is
  JEE Advanced · Mathematics · Indefinite Integration
• The primitive of the function x| x| when 2 < x < is given by
  JEE Advanced · Mathematics · Indefinite Integration
• x x^2 ,dx is equal to
  JEE Advanced · Mathematics · Indefinite Integration
• f(x) '(x) - f'(x) (x) f(x) (x) (x) - f(x) dx is equal to
  JEE Advanced · Mathematics · Indefinite Integration
• 2x x ,dx is equal to
  JEE Advanced · Mathematics · Indefinite Integration

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