http://www.ck12.org Chapter 4. Integration
Review Questions
In problems #1–3, find an antiderivative of the function
- f(x) = 1 − 3 x^2 − 6 x
- f(x) =x−x^23
- f(x) =√^52 x+ 1
In #4–7, find the indefinite integral
4.∫( 2 +√
5 )dx
5.∫ 2 (x− 3 )^3 dx
6.∫(x^2 ·√^3 x)dx
7.∫(
x+x 4 √^1 x)
dx- Solve the differential equation
f′(x) = 4 x^3 − 3 x^2 +x− 3 - Find the antiderivativeF(x)of the functionf(x) = 2 e^2 x+x−2 that satisfiesF( 0 ) = 5.
- Evaluate the indefinite integral∫|x|dx(Hint: Examine the graph off(x) =|x|.)