Exercises

$1-82$ Evaluate the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}cosx(1si{n}^{2}x)dx$

${\displaystyle \underset{0}{\overset{1}{}}}(3x1{)}^{-2}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{sinxsecx}{tanx}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{si{n}^{2}x}{cosx}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{t}{t^{6}2}dt$

${\displaystyle \underset{0}{\overset{1}{}}}\frac{x}{(2x1{)}^3}dx$

${\displaystyle \underset{-1}{\overset{1}{}}}\frac{e^{2ethy}}{1y^2}dy$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}tsintcostdt$

${\displaystyle \underset{1}{\overset{3}{}}}{r}^{4}lnrdr$

${\displaystyle \underset{0}{\overset{4}{}}}\frac{x-1}{x^2-4x-5}$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x-1}{x^2-4x5}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x}{x^4{x}^{2}1}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^{5}tco{s}^{4}tdt$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^3}{\sqrt[\phantom{2}]{1x^2}}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{(1-x^2{)}^{\frac{3}{2}}}$

${\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{2}}{}}}\frac{x^2}{\sqrt[\phantom{2}]{1-x^2}}dx$

${\displaystyle \underset{0}{\overset{}{}}}tco{s}^{2}tdt$

${\displaystyle \underset{1}{\overset{6}{}}}\frac{e^{-5}}{\sqrt[\phantom{2}]{t}}dt$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{d}^{4}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{e}^{2}dx$

A$/$II