AP Calculus
posted by some kid .
Find the antiderivatives.
1) çãx (x+1) dx
2) ç(x^34)/ (x^2) dx
3) ç(3sinx) dx
4) ç(5secxtanx) dx
5) ç(1/x) dx
6) ç(e^x  2x) dx
7) ç(3)/((1x^2)^1/2) dx
I picked the antiderivatives i did not know how to do. Please show me how to do a couple of these.

the weird symbols in front are supposed be integral signs but watever. i got number 1 and i have the rest i need someone to check the rest.
2)(1/2x^2)/(4x)
3)cosx
4)5secx + c
5)0
6)e^x  x^2
7) 3sinx 
#2, I would change
(x^34)/ (x^2) to x  4x^2
and the integral of that is
(1/2)x^2 + 4x^1 + c
check by differentiating my answer, it is right.
#3, you had
cosx, how could you get the 3sinx from that?
should have been 3cosx + c
#4
if y = secx
isn't y' = secxtanx ??
take care of the 5, and you are done
#5, you should recognize some standard functions and their derivatives,
if y = lnx
isn't y' = 1/x ??? , so .....
#6, good
#7, how can the derivative of 3sinx, your answer, possibly be (3)/((1x^2)^1/2) ?????
Respond to this Question
Similar Questions

Calculus, AntiDerivatives
I need help with this problem: A car traveling at 43 ft/sec decelerates at a constant 5 ft per second squared. How many feet does the car travel before coming to a complete stop? 
Math  Solving Trig Equations
Solve each equation for 0 is less than and equal to "x" is less than and equal to 360 3sinx = 2cos^{2}x  I don't know how to solve this equation...this is what I have, but I don't know if I'm on the right track or not 3sinx = … 
Calculus II
Can someone help me with this problem? Find f if f''(x) = x^2, x>0, f(1)=0, and f(2)=0. I tried using antiderivatives but I realized I couldn't take the antiderivative of x^1. 
Calculus (Antiderivatives)
What is the antiderivative of? (x^2  4) / (x  2) 
Calculus (Antiderivatives)
What is the antiderivative of the following expression? 
Calculus I
Section Antiderivatives: Find the function f(x) satisfying the given conditions. f''(t) = 4 + 6t, f(1) = 3, f(1) = 2 
Calculus antiderivatives
find an antiderivative of the function ((t1)^2)/sqrt(t) that goes through the point (1,2) i find derivative of top and bottom first and get 2t2/(1/2*sqrt(t)) but this doesnt give right solution then i find diervative of that again … 
Math
I am having trouble with a precal problem. If you could explain how to do it that would be great! ((3^3)^(cosx+2/3sinx))^2cosx+3sinx all divided by ((3^sinx)^13)^cosx = x 
math(check answers please)
for questions 13,find the sum. 1.5 9/13 + 5 9/13= A.13/74 B.10 12/13 C.11 5/13(I PICKED THIS) D.13/142  2.3 3/15 +4 2/5= A.2 1/2 B.22 4/5 C.7 3/5( I PICKED THIS) D.5/38  3.3 4/9 … 
Calculus Antiderivatives
Find a function whose derivative is a constant k