Find each of the following integrals integral sin5 x cos4 x

Find each of the following integrals: integral sin^5 (x) cos^4 (x) dx integral^1_0 x^2 e^-3x dx integral^infinity_1 x^2 + 2/x^3 + 2x^2 + x

0 vector ie (0,0,0) belongs to B as :0^2-0^2+0^2=0

Let, X1 and X2 belong to B

X1=<3,5,4>

3^2-5^2+4^2=0

Hence, X1 belongs to B

X2=<12,13,5>

12^2-13^2+5^2

Hence, X2 belongs to B

X1+X2=<15,18,9>

15^2-18^2+9^2=225-324+81=306-324=-18

Hence, X1+X2 does not belong to B

Hence B is not a subspace of R3