Home
Class 12
MATHS
Let g(x) = cosx^(2), f(x) = sqrt(x), a...

Let `g(x) = cosx^(2), f(x) = sqrt(x)`, and `alpha, beta (alpha lt beta)` be the roots of the quadratic equation `18x^(2) -9pix + pi^(2) = 0`. Then the area (in sq. units) bounded by the curve `y = (gof) (x)` and the lines `x = alpha,x = beta` and `y = 0` is

Promotional Banner

Similar Questions

Explore conceptually related problems

Let g (x) =x ^(2),f (x) = sqrtx, and alpha, beta ( alpha lt beta) be the roots of the quadratic equation 18 x ^(2) - 9pix + pi^(2) =0. Then the area (is sq. units) bounded by curve y = (gof) (x) and the lines x =alpha, x = betaand y =0 is :

Let g(x)=cos^2 x , f(x)=sqrtx and alpha , beta ( alpha < beta ) be the roots of the quadratic equation 18x^2-9pix+pi^2-0 . Then the area (in sq. units) bounded by the curve y=(gof)(x) and the lines x=alpha,a=beta and y=0 is

Let g(x)=cos^2 x,f(x)=sqrtx and alpha,beta (alpha

Let g(x)=cos^2 x,f(x)=sqrtx and alpha,beta (alpha

Let g(x)=cos x^(2),f(x)=sqrt(x) and alpha,beta(alpha

Let f(x)=x^(2), g(x)="cos" x and alpha,beta (alpha lt beta) be the roots of the equation 18x^(2)-19pi x+pi^(2)=0 . Then the area bounded by the curves u="fog"(x) , the ordinates x=alpha, x=beta and the X-asis is

If alpha and beta are the roots of the quadratic equation x^2-3x-2=0 , then alpha/beta+beta/alpha=

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha^2 + beta^2