Problem $3$: Solve each indefinite integral to find the general antiderivatives.

a$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}x\sqrt[4]{x21}dx$

f$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^2}{(x1{)}^2}dx$

b$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x1)(2x-1{)}^{5}dx$

$8.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{2}^{x}sin(2^x)dx$

c$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(e^{-3x}-6cs{c}^2(x)-\frac{1}{x})dx$

h$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{sin(x)}{co{s}^4(x)}dx$

d$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(4^{x}2csc(x)cot(x))dx$

i$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x^{2}1)(x^{3}3x{)}^{4}dx$

e$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{e}^{-3x}(1e^{4x})dx$

j$.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{(lnx2{)}^3}{x}dx$