1
2
3
4
5
100
Evaluate the integral.
\int(-3+3/r^2)dr
− 3 r − 3 /r + C
100
Evaluate the integral.
int 2/x dx
2 \ln\abs(x)+C
100
Evaluate the integral.
\int((45x^{5/4})/4-4x^(-2))dx
5x^(9/4)+4/x+C
100
Evaluate the integral.
\int (2x+20/x^5)dx
x^2-5/x^4+C
100
Evaluate the integral.
\int 2 e^x dx
2e^x+C
200
Evaluate the integral.
\int_1^4 (-s-2)ds
-27/2 =-13.5
200
Evaluate the integral.
\int_(-4)^(-1) 1/r^2 dr
3/4=0.75
200
Evaluate the integral.
\int_(-3)^(-2) 5/w dw
5 \ln(2/3)=5 \ln 2 - 5 \ln 3 \approx -2.027
200
Evaluate the integral.
\int_1^2 (s^4-3s^2-2s)ds
-19/5=-3.8
200
Evaluate the integral.
\int_(-2)^0 2 e^s ds
2-2/e^2=(2e^2-2)/e^2\approx 1.729
300
a=3
300
35/6 = 5.8\bar3
300
\int_(-1)^4 f(x)dx=125/6=20.8\bar3
300
0
300
Find the shaded area.
-16
400
int_3^5 (3+1/(x-2))dx \approx 7.1
400
Evaluate.
int_1^3 3/(2x+2)dx
(3 ln(8)-3ln(4))/2=(3ln(2))/2 \approx 1.04
400
Evaluate.
int_1^3 2e^(x-3)dx
(2e^2-2)/e^2=2-2/e^2\approx 1.729
400
Evaluate.
int_3^5 -4/(x-2) dx
-4 ln(3)=-ln(81) \approx -4.394
400
Evaluate.
int_(-1)^1 -5/(x+2)^3 dx
-20/9 =-2.\bar2
500
Given that
int lnx dx=x(ln(x)-1)+C
-\int_{-2}^0f(x)dx+\int_0^2f(x)dx\approx 4.047
500
\int_0^2(f(x)-g(x))dx \approx 4.39
500
int_(-2)^0 (g(x)-f(x))dx+int_0^4 (f(x)-g(x))dx=74/3=24.\bar6
500
int_(-1)^2 (f(x)-g(x))dx=9
500
int_(-3)^(-1) (f(x)-g(x))dx=4