# AP Calculus

posted by .

Find the antiderivatives.
1) çãx (x+1) dx

2) ç(x^3-4)/ (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)/((1-x^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.

• AP Calculus -

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

• AP Calculus -

#2, I would change
(x^3-4)/ (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.

-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)/((1-x^2)^1/2) ?????

## Similar Questions

1. ### 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?
2. ### 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 = …
3. ### 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.
4. ### Calculus (Antiderivatives)

What is the antiderivative of? (x^2 - 4) / (x - 2)
5. ### Calculus (Antiderivatives)

What is the antiderivative of the following expression?
6. ### Calculus I

Section Antiderivatives: Find the function f(x) satisfying the given conditions. f''(t) = 4 + 6t, f(1) = 3, f(-1) = -2
7. ### Calculus antiderivatives

find an antiderivative of the function ((t-1)^2)/sqrt(t) that goes through the point (1,2) i find derivative of top and bottom first and get 2t-2/(1/2*sqrt(t)) but this doesnt give right solution then i find diervative of that again …
8. ### Math

I am having trouble with a pre-cal 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