Basic Integrals & Antiderivatives

Find the antiderivative:

 $\int_{ }^{ }5x^6dx$  

•  $x^6$  

•  $x^6+C$  

•  $\frac{5x^7}{7}$  

•  $\frac{5x^7}{7}+C$  

Find the antiderivative:

 $\int_{ }^{ }3-6x\ dx$  

•  $0\ +C\ =\ C$  

•  $-x^3+C$  

•  $3x-6x^2+C$  

•  $3x-3x^{2\ }+C$  

Find the antiderivative:

 $\int_{ }^{ }\frac{1}{x}\ dx$  

•  $0\$  

•  $1+C$  

•  $\ln\left(x\right)+C$  

• No antiderivative

Evaluate the definite integral

 $\int_2^65\ dx$  

(a)  

True or false: since every function has a derivative, every function has an antiderivative.

• True

• False

• Eh... well, uh... I mean...

• True

• False