Saturday, November 21, 2015

Single Variable Calculus, Chapter 5, Review Exercises, Section Review Exercises, Problem 34

Determine the derivative of the function F(x)=1xt+sintdt using the properties of integral.
Using the properties of integral
abf(x)dx=baf(x)dx

Then,
F(x)=1xt+sintdt=x11+sintdt
Since F(t)=t+sint, using the first fundamental theorem of calculus
g(x)=xaf(t)dt, then
F(x)=x+sinx

No comments:

Post a Comment

Why is the fact that the Americans are helping the Russians important?

In the late author Tom Clancy’s first novel, The Hunt for Red October, the assistance rendered to the Russians by the United States is impor...