Basic Integrals & Antiderivatives

Find the antiderivative:

 $\int_{ }^{ }5x^6dx$  

Find the antiderivative:

 $\int_{ }^{ }3-6x\ dx$  

Find the antiderivative: $$\int5\ dx$$  

Find the antiderivative:

 $\int_{ }^{ }\frac{1}{x}\ dx$  

Find the antiderivative: $$\int_{ }^{ }3x^5+7\ dx$$  

Evaluate the definite integral

 $\int_2^65\ dx$  

(a)  

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

True or false:

$$\int_{-a}^0x^3dx\ =\ \int_0^ax^3dx$$  

Evaluate the definite integral:

$$\int_0^3x\ +x^2\ dx$$  

(a)  

Evaluate the definite integral:

$$\int_1^{e^2}\ \frac{1}{x}dx$$  

(a)