Question

Find the following indefinite integral. Use C for the constant of integration.

Answer 1

Given that:

we should find the indefinite integral of integral -2x^-10 -2 dx using C as contstant of integration

so,

integral of (-2x^a - 2) = -2/(a+1)x^(a+1) - 2x + C

Where a is the exponent of x

we have our exponent of x as -10 from the question

so,

integral of -2x^-10 - 2

= -2/(-10+1)x^(-10+1) - 2x + C

= 2/9x^(9) - 2x + C

= (2/9x)^-9 - 2x + C