Question
Prove that for every x > 0, x/1+ x2 tan -1 x < x.
Answer :
Word Count : 4
Skip in 10
IGNOU ACADEMY
Your IGNOU journey, made easier.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
Continue Reading — It's Free
Sign in with Google to unlock more of this answer.
✓ Free access
✓ Unlock up to 60% of the answer
✓ No payment required
✓ Unlock up to 60% of the answer
✓ No payment required
Quick Google sign-in. No separate registration form.
Related Questions
- If x sin y = sin (p + y), p ∈ R, show that sin p dy/dx + sin 2 y = 0.
Differentiate tan -1 [sin x - cos x /sin x + cos x]
with respect to 1/2 x.
Differentiate cos-1 (2x 2 -1) with respect to sin-1 squr(1 - x 2 ).
Calculate the approximate value of 
x 3 dx by taking 6 subintervals of equal length and applying Simpson’s rule.
Verify that f , defined by f (x) = x3 + 4x +1on [1,5], satisfies Lagrange’s mean value theorem.
Find the area enclosed by the curve r = a (1 - cos θ).
Given an example of a function which is not integrable on [0, π]. Justify your answer.