if integral of 2 to -2 (x^7+k)dx=16, then k=

a)-12
b)12
c)-4
d)4
e)0

2 answers

The x^7 part of the integral is zero because it is an "odd" function, so the 2 to -0 and 0 to -2 parts cancel out.

Integral of k dx = -4 k .
2 -> -2

Therefore -4k = 16 and
k = -4
Nice