3. a suburban high school has a population of 1376 students. the number of students who participate in sports is 649. the number of students who participate in music is 433. if the probability that a student participates in either sports or music is 974/1376, what is the probability that a student participates in both sports and music?

=  - 2 + 2 cos⁵/₂ (x)  + C

                          5

Step-by-step explanation:

∫ sin³ (x)    dx

= ∫ sin² (x) sin (x)    dx

= ∫ (1 - cos² (x) sin (x)  dx

= ∫ - 1 - u²   du

        √u

= ∫ -   1    +  u³/₂   du

        √u

= - ∫   1    du  +  ∫ u³/₂   du

        √u

substitute it back

=  - 2 √u + 2 cos⁵/₂ (x)

                 5

add constant, therefore

=  - 2 + 2 cos⁵/₂ (x)  + C

                         5