Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

If f(x) = ∫_0^x ( t)/(t) dt , which of the following is true ?

If f(x)=∫0xsin⁡ttdtf(x) = \int_0^x \frac{\sin t}{t} dt, which of the following is true ?

Options

  1. Af(0)>f(1.1)f(0) > f(1.1)
  2. Bf(0)<f(1.1)<f(2.1)f(0) < f(1.1) < f(2.1)
  3. Cf(0)<f(1.1)<f(2.1)>f(3.1)f(0) < f(1.1) < f(2.1) > f(3.1)
  4. Df(0)<f(1.1)<f(2.1)<f(3.1)>f(4.1)f(0) < f(1.1) < f(2.1) < f(3.1) > f(4.1)

Correct answer

D. f(0)<f(1.1)<f(2.1)<f(3.1)>f(4.1)f(0) < f(1.1) < f(2.1) < f(3.1) > f(4.1)

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… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 1 to 2** Let f(x) = ∫ x^2 ^2 x (2x + 6 x - 2x ^2 x) dx and… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 6 to 8** Consider the function f(x) and g(x) , both defined… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) =… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) =… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) =… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 12 to 13** Let f_0(x) = x and for n ≥ 0 and x > 0 Let f_… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 12 to 13** Let f_0(x) = x and for n ≥ 0 and x > 0 Let f_… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 14 to 15** Let f : R arrow [-(3)/(4), ∞) be a surjective… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 14 to 15** Let f : R arrow [-(3)/(4), ∞) be a surjective… Black Book Advanced Problems in Mathematics**Paragraph for Question Nos. 16 to 17** Let g(x) = x^c e^ cx and f(x) = ∫_0^x t e^ 2t (1… Black Book Advanced Problems in Mathematics Full Indefinite and Definite Integration list Indefinite and Definite Integration JEE Maths PYQsJEE Mathematics PYQs All Black Book Advanced Problems in Mathematics PYQs