Home
Class 12
MATHS
Find the odd function f(x) such that the...

Find the odd function f(x) such that the area bounded by the x -axis the curve y = f(x) and the lines x = - 1 and x = 1 is equal to in `(t^(2) + 1), AA t ge 0`.

Text Solution

Verified by Experts

The correct Answer is:
`+- (x)/(1 + x^(2))`
Promotional Banner

Topper's Solved these Questions

  • AREA

    FIITJEE|Exercise Assignment Problems (Objective) Level - I|49 Videos

  • AREA

    FIITJEE|Exercise Assignment Problems (Objective) Level - II|20 Videos

  • AREA

    FIITJEE|Exercise Exercise 3|5 Videos

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Numerical|3 Videos

  • CIRCLE

    FIITJEE|Exercise Numerical Based|2 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve y= f(x) and the lines x=0, y=0 and x=t , lies in the interval

The area bounded by the x-axis the curve y = f(x) and the lines x = a and x = b is equal to sqrt(b^(2) - a^(2)) AA b > a (a is constant). Find one such f(x).

Find the area bounded by the curve y = (2x)/(1 + x^(2)) and the lines x = -1 ,x = 2 and the x-axis

If the area bounded by the x-axis, the curve y=f(x), (f(x)gt0)" and the lines "x=1, x=b " is equal to "sqrt(b^(2)+1)-sqrt(2)" for all "bgt1, then find f(x).

Area bounded by the curve y=e^(-x) , the X-axis and the lines x = 0, x = 1 is

The area bounded by the curve y=x(x^(2)-1) and x-axis is

The area bounded by the curve y^(2)=1-x and the lines y=([x])/(x),x=-1, and x=(1)/(2) is

The area of the region bounded by the function f(x) = x^(3) , the x-axis and the lines x = -1 and x = 1 is equal to