Question

integrals

Answer 1

i just need an explanation of why the integral of 7/x^10 is -7/9z^9

Answer 2

@TuringTest

Answer 3

@campbell_st

Answer 4

why cant it be 7*z^11/11

Answer 5

well rewrite it in index form before integrating


\[7x^{-10} \]

now integrate

Answer 6

oh so it has to be in linear form? is that how it is?

Answer 7

before integrating

Answer 8

no it needs to be in index form... that way you avoid confusion...

Answer 9

im sorry if this is a dumb question but what is index form?

Answer 10

im still confused

Answer 11

i got 7x^-9/-9

Answer 12

ok... so the rule for integrating is add 1 to the power and 1/(n+1) is multiplied by the coefficient

\[\int\limits 7x^{-10} dx = 7 x^{-10 +1} \times \frac{1}{-10 + 1} = -\frac{7}{9}x^{-9}... or... -\frac{7}{9x^9}\]

Answer 13

to check just differentiate...

oops should be + C

Answer 14

ok i think i got it...thanks for the help @campbell_st