Tricky Trig
int sin^3(x) cos^2(x) dx
What is
1/5 cos^5(x)-1/3 cos^3(x)+C
int_0^2 (2t)/(t-3)^2 dt
What is
4-ln9
int x e^x dx
What is
xe^x-x+C
int (4x^3)/sqrt(x^4+9) dx
What is
2sqrt(x^4+9) +C
int cos^5(x)sin^4(x) dx
What is
1/5 sin^5(x)-2/7 sin^7(x)+1/9sin^9(x) + C
int_0^5 (3w-1)/(w+2) dw
What is
15+7ln(2/7)
int x cos(x) dx
What is
x sin(x)+cos(x) + C
int dx/(xsqrt(lnx))
What is
2 sqrt(lnx) + C
int (1+cos theta)^2 d theta
What is
3/2 theta + 2 sin theta +1/4 sin 2\theta + C
int_0^(pi/2) cos^2(theta) d theta
What is
pi/4
int xln(x) dx
What is
1/2 x^2 ln(x) -1/4 x^2+C
int tan(x)sec^3(x) dx
What is
1/3 sec^3(x)+C
int tan^3(x)sec(x)dx
What is
1/3 sec^3(x)-sec(x) dx
int_(-1)^1 e^(arctan y)/(1+y^2) dy
What is
e^(pi/4)-e^(-pi/4)
int x 2^x dx
What is
2^x/ln2 (x-1/ln2)+C
int x\sqrt(x-5) dx
What is
2/5 (x-5)^(2/5) + 10/3(x-5)^(3/2)+C
int tan^3 theta/cos^4 theta d theta
What is
1/6 tan^6(theta)+1/4 tan^4(theta)+C
int_(pi/6)^(pi/2) cot^2(x) dx
What is
sqrt 3 - pi/3
int x e^(2x) dx
What is
1/2 xe^(2x)-1/4 e^(2x)+C
int e^(2x)/(1+e^x)dx
What is
e^x-ln(1+e^x)+C