• anonymous
Evaluate the line integral $\int_c F\bullet dr$ where C is given by the vector function r(t). $F(x,y,z)=(x+y)\hat{i}+(y-z)\hat{j}+z^2\hat{k}$ $r(t)=t^2\hat{i}+t^3\hat{j}+t^2\hat{k}$ $0 \le t \le 1$ $r'(t)=2t\hat{i}+3t^2\hat{j}+2t\hat{k}$ $\int_c F \bullet dr=\int_a^b F(r(t)) \bullet r'(t)dt$ $\int_0^1 (t^2\hat{i}+(t^3-t^2)\hat{j} + t^4\hat{k})\bullet (2t\hat{i} +3t^2\hat{j}+2t\hat{k})dt$ how am I doing?
Mathematics

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