Actividad 9.8 Calculen las siguientes integrales definidas $$ \begin{array}{lll} ext { a) } \int_{-1}^{2}\left(x^{3}-2 x ight) d x & ext { b) } \int_{-2}^{5} 6 d x & ext { c) } \int_{1}^{4}\left(5-2 t+3 t^{2} ight) d t \ ext { d) } \int_{0}^{1} x^{4 / 5} d x & ext { e) } \int_{1}^{8} \sqrt[3]{x} d x & ext { f) } \int_{1}^{2} \frac{3}{t^{4}} d t \ ext { g) } \int_{0}^{2 \pi} \cos ( heta) d heta & ext { h) } \int_{0}^{\pi / 4} \sec ^{2}(t) d t & ext { i) } \int_{1}^{9} \frac{2}{x} d x \ ext { j) } \int_{-3}^{-1} \frac{2}{x} d x & ext { k) } \int_{0}^{1} 10^{x} d x & ext { l) } \int_{1 / 2}^{\sqrt{3} / 2} \frac{6}{1+t^{2}} d t\end{array} $$

Question

Actividad 9.8 Calculen las siguientes integrales definidas $$ \begin{array}{lll}	ext { a) } \int_{-1}^{2}\left(x^{3}-2 xight) d x & 	ext { b) } \int_{-2}^{5} 6 d x & 	ext { c) } \int_{1}^{4}\left(5-2 t+3 t^{2}ight) d t \ 	ext { d) } \int_{0}^{1} x^{4 / 5} d x & 	ext { e) } \int_{1}^{8} \sqrt[3]{x} d x & 	ext { f) } \int_{1}^{2} \frac{3}{t^{4}} d t \ 	ext { g) } \int_{0}^{2 \pi} \cos (	heta) d 	heta & 	ext { h) } \int_{0}^{\pi / 4} \sec ^{2}(t) d t & 	ext { i) } \int_{1}^{9} \frac{2}{x} d x \ 	ext { j) } \int_{-3}^{-1} \frac{2}{x} d x & 	ext { k) } \int_{0}^{1} 10^{x} d x & 	ext { l) } \int_{1 / 2}^{\sqrt{3} / 2} \frac{6}{1+t^{2}} d t\end{array} $$

Kelley Clark · Accepted Answer

a) $$ \frac{3}{4} $$ b) $$ 42 $$ c) $$ 63 $$ d) $$ \frac{5}{9} $$ e) $$ \frac{45}{4} $$ f) $$ \frac{7}{8} $$ g) $$ 0 $$ h) $$ 1 $$ i) $$ 2 \ln(9) $$ j) $$ -2 \ln(3) $$ k) $$ \frac{9}{\ln(10)} $$

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