Question

∫(5x^3+ 4x-8)dx - evaluate

Answer 1

=5x^4/4+4x^2/2-8x+c

Answer 2

how did you get ^ 4

Answer 3

integral of x^n=x^(n+1)/(n+1)

Answer 4

it's the definition of the antiderivative

Answer 5

what about the c and 8x?

Answer 6

c is the constant you add after every indefinite integral
the integral of a constant is constant * x

Answer 7

its necessary to put a constant?

Answer 8

well every constant has an integral =c-te*x
and u add +c cause it is a indefinite integral

Answer 9

yes whn u have an indefinite integral

Answer 10

how can you distinguish wether its indefinite and definite

Answer 11

It's necessary if it's an indefinite integral.

When you have a definite integral (an integral with a lower and an upper bound included) you do not have to consider the c

Answer 12

a definite integral is \[\int\limits_{a}^{b}\]

Answer 13

\[\int\limits_{0}^{2}xdx\] is a definite integral with a lower bound of 0 and an upper bound of 2

Answer 14

any reason or anywhere integrals can come of use in work or in professional fields?

Answer 15

well definite integrals are used to find areas

Answer 16

http://en.wikipedia.org/wiki/Integral
take a look

Answer 17

thankx

Answer 18

yw :)