Answer: A.) 8
Explanation:
Use u-substitution.
(1) Let u=x^3
By the power rule, du/dx=3x^2
Multiplying by dx and dividing by three, we have du/3=x^2dx
To find the new lower bound of integration, plug the old bound, -3, for x in equation (1). We get u=(-3)^3= -27
Similarly, when the upper bound 3 is plugged in, u=27
Now, replacing f(x^3) with f(u) and x^2dx with du/3:
since the value of the first integral of the question = 12, which is given. Although the variable is different than the given (u instead of x), it's still the same integral
The answer is the following first TWO words:
Homo sapiens: evolved from their early hominid predecessors between 200,000 and 300,000 years ago and developed a capacity for language about 50,000 years ago.
Answer:
The Human Development Index (HDI) is a summary measure of average achievement in key dimensions of human development: a long and healthy life, being knowledgeable, and have a decent standard of living. The HDI uses the logarithm of income, to reflect the diminishing importance of income with increasing GNI.
Explanation:
"Respect" by Aretha Franklin
"Love on the Brain" by Rihanna
"I Can See Clearly Now" by Johnny Nash
"Can't Feel My Face" by The Weeknd