Hi I was given this question in an exam and unfortunately didnt know how to do it obtaining zero out of seven.

A continuous random variable, X, had density function of the form

where a and b are constants(i) calculate the values of a and b.

I figured since the integral of the density function from

to

is 1, a and b could be derived but i don't get anywhere.

here is my working:-

which gives me

Im not exactly sure but i think this gives me roughly ab=1,,,do i just sub then for instance

back into my original integral??? im not sure as this gives me

If anyone could give me some idea as to how I could get a reasonable or solid answer you'll be very helpful!!!