Write the integral as the sum of the integral of an even and odd function to evaluate the integral. a) (integral sign) bounds[-4,4] x^3+6x^2-2x-3 dx.

Question

anonymous · Answer

$$\int\limits_{-4}^{4}x ^{3}+6x ^{2}-2x-3 dx$$

aravindg · Answer

do u expect me to simply integrate this?

anonymous · Answer

nope..Write the integral as the sum of the integral of an even and odd function

aravindg · Answer

then just split it

anonymous · Answer

how?

aravindg · Answer

x^3 and 2x are odd 
and 6x^2 and -3 even

aravindg · Answer

then apply integral of sum =sum of integrals

anonymous · Answer

so then its the integral of x^3 and 2x + the integral of 6x^2 and -3?

aravindg · Answer

it must be

anonymous · Answer

thts it?

aravindg · Answer

ys..whats the matter?

anonymous · Answer

nothing..i just thought there was to it..and then...r u supposed to just integrate it and solve?

aravindg · Answer

ys.. this type of qn only is to be expected in a subjective paper where the examiner tests if you know what is odd and even fn along with integration and the theorem integral of sum =sum of integrals ...a combo i mean

anonymous · Answer

ohhok..thank u!

aravindg · Answer

welcomess