CALC 2 INTEGRALS TEST WITH SOLUTION #6
ln|x|+C - correct answer int(1/x)
e^x+C - correct answer int(e^x)
-cos(x)+C - correct answer int(sin(x))
sin(x)+C - correct answer int(cos(x))
ln|sec(x)|+C - correct answer int(tan(x))
tan(x)+C - correct answer int(sec^2(x))
-cot(x)+C - correct answer int(csc^2(x))
sec(x)+C - correct answer int(sec(x)tan(x))
-csc(x)+C - correct answer int(csc(x)cot(x))
tan^-1(x)+C - correct answer int(1/(x^2+1))
sin^-1(x)+C - correct answer int(1/sqrt(1-x^2))
cos^-1(x)+C - correct answer int(-1/sqrt(1-x^2))
1+tan^2(x)=sec^2(x) 1+cot^2(x)=csc^2(x) - correct answer sin^2(x)+cos^2(x)=1
(1/2)1-cos(2x) - correct answer sin^2(x)
(1/2)1+cos(2x) - correct answer cos^2(x)
(1-cos(2x))/(1+cos(2x)) - correct answer tan^2(x)
x=atan(theta) - correct answer x^2+a^2
x=asin(theta) - correct answer a^2-x^2
x=asec(theta) - correct answer x^2-a^2
ln|csc(x)-cot(x)|+C - correct answer int(csc(x))
ln|sec(x)+tan(x)|+C - correct answer int(sec(x))
ln|sin(x)|+C - correct answer int(cot(x))
ln|x|+C - correct answer int(1/x)
e^x+C - correct answer int(e^x)
-cos(x)+C - correct answer int(sin(x))
sin(x)+C - correct answer int(cos(x))
ln|sec(x)|+C - correct answer int(tan(x))
tan(x)+C - correct answer int(sec^2(x))
-cot(x)+C - correct answer int(csc^2(x))
sec(x)+C - correct answer int(sec(x)tan(x))
-csc(x)+C - correct answer int(csc(x)cot(x))
tan^-1(x)+C - correct answer int(1/(x^2+1))
sin^-1(x)+C - correct answer int(1/sqrt(1-x^2))
cos^-1(x)+C - correct answer int(-1/sqrt(1-x^2))
1+tan^2(x)=sec^2(x) 1+cot^2(x)=csc^2(x) - correct answer sin^2(x)+cos^2(x)=1
(1/2)1-cos(2x) - correct answer sin^2(x)
(1/2)1+cos(2x) - correct answer cos^2(x)
(1-cos(2x))/(1+cos(2x)) - correct answer tan^2(x)
x=atan(theta) - correct answer x^2+a^2
x=asin(theta) - correct answer a^2-x^2
x=asec(theta) - correct answer x^2-a^2
ln|csc(x)-cot(x)|+C - correct answer int(csc(x))
ln|sec(x)+tan(x)|+C - correct answer int(sec(x))
ln|sin(x)|+C - correct answer int(cot(x))
