Question

Evaluate the definite integral using the properties of even and odd functions.

S 2 (1/2 t^4+3)dt
-2

Answer 1

(1/10) t^5 + 3 t

both are odd so the answer from -2 to +2 is twice answer from 0 to 2

2 [ 2^5/10 + 6 ]

2 ( 9.2) = 18.4

Answer 2

Evaluate the definite integral using the properties of even and odd functions.

S 2 (1/2 t^4+3)dt
-2

Answer 3

I wonder why we call this PRE-calculus :)