Answer:
Step-by-step explanation:
The fundamental theorem of calculus can be applied to the proper integrals. I'm going to use the general formula:
[tex]\int\limits {x^n} \, dx =\frac{x^n^+^1}{n+1}[/tex]
I'm also going to assume you know the integrals of basic trig functions and 1/x. I cant prove them, you just have to know them.
a) [tex]y+\frac{3y^2}{2} -\frac{y^4}{4} +C[/tex]
b) ln|x| --> ln(6) - ln(3) = 0.69
c) sin(Ф) --> sin(2pi) - sin(0) = 0
d) [tex]2e^x[/tex] --> [tex]2e^l^n^(^6^)-2e^l^n^(^3^)=12-6=6[/tex]
