Question: Explain why the following integrals are improper and then determine whether they converge or diverge. If theintegral is convergent, determine the value to which it
Explain why the following integrals are improper and then determine whether they converge or diverge. If theintegral is convergent, determine the value to which it converges.(a)-0xexdx(b)11x2+xdx(c)02sec(x)dx.(d)01ln(x)dxUsing the Comparison Theorem, to determine whether the following integrals are convergent or divergent.(a)0xx3+xdx(b)1x+1x4-x2dxFind the area of each region bounded by the following curves.(a)f(x)=2x3+x2+x+5 and g(x)=x3+x2+2x+5.(b)y=x2,y=x+2, and below y=2.
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