Vectorial function: evaluating an integral

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Given the vectorial function $$F(t)=\frac{4}{t}i+t^2j+1k$$ I have to evaluate $$\int_{0}^{1}F(t)dt$$ However, $$\int_{0}^{1}\frac{4}{t}dt=+\infty$$ What is supposed to be the right answer to $$\int_{0}^{1}F(t)dt?$$