Antiderivative_2

The general antiderivative of

 $4x^3$  is

•  $\frac{x^3}{3}+c$  

•  $x^4+c$  

•  $\frac{x^4}{4}+c$  

The general antiderivative of

 $\frac{1}{2\sqrt{x}}$  is

•  $\ln\left|\sqrt{x}\right|+c$  

•  $x^2+c$  

•  $\sqrt{x}+c$  

•  $2\sqrt{x}+c$  

The general antiderivative of

 $5x^{\frac{\ \ 2\ \ }{3}}$  is

•  $\frac{\ 5\ }{3}x^{\frac{\ 5\ }{3}}+c$  

•  $x^{\frac{\ 5\ }{3}}+c$  

•  $3x^{\frac{\ 5\ }{3}}+c$  

•  $\frac{\ 2\ }{3}x^{\frac{\ 5\ }{3}}$  

Find the integral

 $\int_{ }^{ }x^5dx$  

•  $x^4+c$  

•  $\frac{\ x^4\ }{4}+c$  

•  $x^6+c$  

•  $\frac{x^6}{6}+c$  

Find the integral

 $\int_{ }^{ }4x^3-3x^2dx$  

•  $\frac{x^4}{4}-\frac{x^3}{3}+c$  

•  $\frac{x^2}{2}+c$  

•  $x^4-x^3+c$  

Find the integral

 $\int_{ }^{ }\sin xdx$  

•  $\cos x+c$  

•  $\sin^2x+c$  

•  $x\cos x+c$  

•  $-\cos x+c$  

The integral $\int_{ }^{ }\left(\sin^2x+\cos^2x\right)dx$  equals