Definite Integrals
Indefinite Integrals
U-Substitution
Properties of Definite Integrals
100
Evaluate:
int_0^4(4x+5) dx
What is 52?
100
Evaluate:
int(2x^2- 3/x +2^x)dx
What is
2/3x^3-3lnabsx+2^x/ln2+C
100
Find the indefinite integral:
int x(x^2+3)^5 dx
What is:
1/12(x^2+3)^6+C
100
Evaluate:
int_-4^-2f(x)dx
What is -2?
200
Evaluate:
int_-1^2(3x^2-4/x^2+1)dx
What is 18?
200
Evaluate:
int (1/x-e^x)dx
What is:
lnabsx-e^x+C
200
Find the indefinite integral:
int sin(x)cos^3 (x)dx
What is
-1/4cos^4x+C
200
Evaluate:
int_-2^0 4f(x)dx
What is
2pi?
300
Evaluate:
int_-pi^(-pi/2) (1-cosx)dx
What is
pi/2 +1?
300
Find the function that satisfies this condition:
s'(t)=8t^2+6t-1 and s(3) = 50
What is:
s(t) = 8/3t^3+3t^2-t-46
300
*Daily Double*
int_-1^1 2/(1+x^2)dx
What is
pi?
300
Evaluate:
int_4^2f(x)dx
What is 2?
400
Let h(x) be an antiderivative of
x^2-2x. If h(-3)=4, then h(1) =
What is 64/3
400
Find the function that satisfies the given conditions:
dy/dx =2e^x +sinx and y(0)=2
What is:
2e^x-cosx+1
400
Find the indefinite integral:
int cosx sqrtsinx dx
What is
2/3(sinx)^(3/2)+C
400
Evaluate the following using a calculator:
int_-2^3-abs(x+1)dx
What is -8.5?