0" alt="\int_0^{x}(3t^2-8t+3)dt=(t^3-4t^2+3t)|_0^{x}=x^3-4x^2+3x>0" align="absmiddle" class="latex-formula">
0\\x(x-1)(x-3)>0\\- - -(0)+ + + (1)- - - (3)+ + +\\x\in (0,1)U(3,+\infty)" alt="x(x^2-4x+3)>0\\x(x-1)(x-3)>0\\- - -(0)+ + + (1)- - - (3)+ + +\\x\in (0,1)U(3,+\infty)" align="absmiddle" class="latex-formula">
6\\x^2+5x-6>0\\(x+6)(x-1)>0\\+ + + (-6)- - -(1)+ + +\\x\in (-\infty,-6)U(1,+\infty)" alt="2)\;\;\int_0^{x}(2t+5)dt=(t^2+5t)|_0^{x}=x^2+5x>6\\x^2+5x-6>0\\(x+6)(x-1)>0\\+ + + (-6)- - -(1)+ + +\\x\in (-\infty,-6)U(1,+\infty)" align="absmiddle" class="latex-formula">