Question

Help with two integrals!

Answer 1

\[\int\limits_{-10}^{1} s*\left| 25-s ^{2} \right|ds\]

Answer 2

\[\int\limits_{5}^{10} \frac{ t-5 }{ t ^{2}-10t+26 } dt\]

Answer 3

want the result or step by step?

Answer 4

step by step please. im not sure how to approach them.

Answer 5

For the 2nd one

Answer 6

Do you get it?

Answer 7

yes i get it ! thank you

Answer 8

for the first integral, remove absolute bars by splitting the integral

Answer 9

use below :-
|x-a| = x-a when x >= a
|x-a| = a-x when x <= a

Answer 10

\(\int\limits_{-10}^{1} s*\left| 25-s ^{2} \right|ds \)

\(\int\limits_{-10}^{-5} s*(s^2-25)ds + \int\limits_{-5}^{1} s*(25-s^2)ds \)

Answer 11

Yes!
To be exact the integral can be split in two definite integrals

The one from -10 to -5 and the other to -5 to 1

Do you undeestand how to do it?

Answer 12

Yup, just do as @ganeshie8 showed and the integrals should be fairly easy to solve :-)