इंटीग्रेशन ऑफ टेन एक्स
Answers
Answer:
Producers are any kind of green plant. Green plants make their food by taking sunlight and using the energy to make sugar. The plant uses this sugar, also called glucose to make many things, such as wood, leaves, roots, and bark. Trees, such as they mighty Oak, and the grand American Beech, are examples of producers
Answer:
Strategy: Make in terms of sin's and cos's; Use Substitution.
(integral) tan x dx = (integral) sin x
COs x dx
set
u = COs x.
then we find
du = - sin x dx
substitute du=-sin x, u=COs x
(integral) sin x
COs x dx = - (integral)
(-1) sin x dx
COs x
= - (integral) du
u
Solve the integral
= - ln |u| + C
substitute back u=COs x
= - ln |COs x| + C
Q.E.D.
2. Alternate Form of Result
(integral) tan x dx = - ln |COs x| + C
= ln | (COs x)-1 | + C
= ln |sec x| + C
Therefore:
(integral) tan x dx = - ln |COs x| + C = ln |sec x| + C