8. Definite Integrals

Find $\(\int\)_0^6\!f\(\left\)(x\(\right\))\,dx$ given the graph of $y=f\(\left\)(x\(\right\))$.

Express the following limit as a definite integral on the interval $[0,10]$.

$\(\lim\)_{n\(\to\)\(\infty\)}\(\sum\)_{k=1}^{n}\(\left\)(x_{k}^{\(\ast\)}-3\(\right\))^2\(\Delta\) x$

Given the following definite integral of the function $f\(\left\)(x\(\right\))=3x^2-2x$, write the simplified integral:

-$\(\int\)_4^0\!f\(\left\)(x\(\right\))\,dx$

Write the two definite integrals subtracted below as a single integral.

$\(\int\)_1^6\!\(\sqrt{x^2-5x}\)\,dx-\(\int\)_{10}^6\!\(\sqrt{x^2-5x}\)\,dx$