Question

evaluate the definite integral

Answer 1

\[\large \int\limits_{3}^{6}[z^{\frac{9}{5}}+z^{\frac{5}{9}}]dz\]
\[\large =\frac{5}{14}z^{\frac{14}{5}}+\frac{9}{14}z^{\frac{14}{9}}\]
\[\large =[\frac{5}{14}(6)^{\frac{14}{5}}+\frac{9}{14}(3)^{\frac{14}{9}}]-[\frac{5}{14}(6)^{\frac{9}{5}}+\frac{9}{14}(3)^{\frac{14}{9}}]\]

Answer 2

Using the form\[\int(x^n+x^k)\,dx=\frac{x^{n+1}}{n+1}+\frac{x^{k+1}}{k+1}+C\]you arrive at the solution above.

Answer 3

meant to be 14/5 in the third term.

Answer 4

the exponent was meant to be 14/5 sorry about that*

Answer 5

@praetorian Thi is a DEFINITE integral. Not an INDEFINITE integral.....

Answer 6

This*

Answer 7

hmm so im debating between whether its either B or E =/

Answer 8

is the answer b?

Answer 9

@Azteck

Answer 10

is my answer correct ? @Azteck

Answer 11

I'm doing it by paper now. Just wait. Because the substitution I did was incorrect. It's pretty hard to write all these latex in here to give neat working out.

Answer 12

Nope the answer is not b or E.

Answer 13

D.
Refer to the attached solution computed with Mathematica 8.

Answer 14

thank you !! @robtobey

Answer 15

You're welcome.