Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined from R Rf(x) = x^3 2 + 1 - x ₀^x g(t) dt and g(x) = x - ₀^1 f(t) dt , then The area bounded by g(x) with co-ordinate axes is (in square units) :

Options

  1. A9 4
  2. B9 2
  3. C9 8
  4. DNone of these

Correct answer

C. 9 8

Step-by-step solution

Open this question in the Quantrex Academy app for the full interactive solution, figures and similar PYQs.

Practice Indefinite and Definite Integration on Quantrex Academy →

More from Indefinite and Definite Integration

**Paragraph for Question Nos. 1 to 2** Let f(x) = x^2 ^2 x (2x + 6 x - 2x ^2 x) dx and f(x) passes through the point ( , 0) If f : R - (2n + 1) 2 R then f(x) be a :**Paragraph for Question Nos. 1 to 2** Let f(x) = x^2 ^2 x (2x + 6 x - 2x ^2 x) dx and f(x) passes through the point ( , 0) The number of solution(s) of the equation f(x) = x^3 in **Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function defined on (- , ) such that f(x) = f(2 - x) and f' ( 1 2 ) = f' ( 1 4 ) = 0 . Then The minimum nu**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function defined on (- , ) such that f(x) = f(2 - x) and f' ( 1 2 ) = f' ( 1 4 ) = 0 . Then _ -1 ^1 f'(1 +**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function defined on (- , ) such that f(x) = f(2 - x) and f' ( 1 2 ) = f' ( 1 4 ) = 0 . Then ₀^2 f(1 - t) e**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined from R Rf(x) = x^3 2 + 1 - x ₀^x g(t) dt and g(x) = x - ₀^1 f(t) dt , then Minimum value o**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined from R Rf(x) = x^3 2 + 1 - x ₀^x g(t) dt and g(x) = x - ₀^1 f(t) dt , then The number of p**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) = 0 and for any a (0, 1] , ₀^a f(x) dx - _a^1 f(x) dx = 2f(a) + 3a + b where b is constant. b Full Indefinite and Definite Integration list All Black Book Advanced Problems in Mathematics PYQs