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^ g(x) dt 1+t^3 , g(x) = ∫_0^ x (1+ t)^2 dt , then the...

If f(x)=∫0g(x)dt1+t3,g(x)=∫0cos⁡x(1+sin⁡t)2dtf(x) = \int_0^{g(x)} \frac{dt}{\sqrt{1+t^3}}, g(x) = \int_0^{\cos x} (1+\sin t)^2 dt, then the value of f′(π2)isequalto:f' \left(\frac{\pi}{2}\right)is equal to :

Options

  1. A1
  2. B-1
  3. C0
  4. D12\frac{1}{2}

Correct answer

D. 12\frac{1}{2}

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