Home
Class 12
MATHS
Let f(x) be a non-negative continuous fu...

Let `f(x)` be a non-negative continuous function such that the area bounded by the curve `y=f(x),` the x-axis, and the ordinates `x=pi/4a n dx=beta>pi/4i sbetasinbeta+pi/4cosbeta+sqrt(2)betadot` Then `f^(prime)(pi/2)` is `(pi/2-sqrt(2)-1)` (b) `(pi/4+sqrt(2)-1)` `-pi/2` (d) `(1-pi/4-sqrt(2))`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x), the x-axis, and the ordinates x=(pi)/(4) and x=betagt(pi)/(4)" is "beta sin beta +(pi)/(4)cos beta +sqrt(2)beta. Then f'((pi)/(2)) is

Let f be a non-negative continuous function such that the area bounded by the curve y = f(x), x-axis and the coordinates x = 3:sqrt2 and x = beta > pi/4 is (beta sin beta + pi/4 cos beta + sqrt2 beta). then f(pi/2) is:

Let y=f(x) be an even function, If f'(2)=-sqrt(3) then the inclination of the tangent to the curve y=f(x) at x=-2 with the x -axis is 1) (pi)/(6) 2) (pi)/(3) 3) (2 pi)/(3) 4) (5 pi)/(6)

If f(x)=sqrt(1+cos^(2)(x^(2))), then f'((sqrt(pi))/(2)) is (sqrt(pi))/(6)(b)-sqrt(pi/6)1/sqrt(6)(d)pi/sqrt(6)

The equation of tangent to the curve y=sqrt(2) sin (2x+(pi)/(4))" at "x=(pi)/(4) is

The area bounded by the curves x^(2)+y^(2)=1,x^(2)+y^(2)=4 and the pair of lines sqrt(3)x^(2)+sqrt(3)y^(2)=4xy ,in the first quadrant is (1)(pi)/(2)(2)(pi)/(6)(3)(pi)/(4)(4)(pi)/(3)

The equation of normal to the curve y=sqrt(2) sin (2x+(pi)/(4))" at "x=(pi)/(4) is

Let f: R to R be a continuous function. Then lim_(x to pi//4) (pi/4 int_2^(sec^2x) f(x)dx)/(x^2 - pi^2/16) is equal to :