Question

Let F(x) be an antiderivative of sin^3 (x). If F(1)=0, find F(8).

Answer 1

\(\large F(8) - F(1) = \int \limits_1^8 \sin^3x dx\)

Answer 2

So I just find that on my calculator, right?

Answer 3

evaluate the right side integral

Answer 4

use substitution ?

Answer 5

But this is multiple choice question and all the answers are in decimal form, so should I find the answer on my calculator?

Answer 6

http://www.wolframalpha.com/input/?i=%5Cint+%5Climits_1%5E8+++%5Csin%5E3x+dx

Answer 7

u may use wolfram..

Answer 8

\(\large F(8) - F(1) = \int \limits_1^8 \sin^3x dx \)

\(\large F(8) - F(1) = 0.6322 \)

\(\large F(8) - 0 = 0.6322 \)

\(\large F(8) = 0.6322 \)

Answer 9

Thanks a lot.

Answer 10

np :)