AP Calculus BC Review (3)

_a∫^c f(x)dx

_a∫^b f(x)dx

_b∫^c f(x)dx

_c∫^a f(x)dx

2.5

3.5

4.0

5.5

$$\pi\int_0^4xdx\$$  

$$2\pi\int_0^4xdx\$$  

$$\pi\int_0^2y\left(4-y^2\right)dy$$  

$$2\pi\int_0^2y\left(4-y^2\right)dy$$  

$$2e^{2x}+C$$  

$$\frac{1}{2}e^{2x}+C$$  

$$\frac{1}{4}e^{2x}+C$$  

$$2e^x+C$$  

$$\frac{1}{3}\operatorname{arcsec}x+C$$  

$$\frac{1}{3}\arcsin x+C$$  

$$\frac{1}{3}x^{-3}+C$$  

$$\frac{1}{3}\arctan x+C$$  

$$x^2+y^2=5$$  

$$x^2+y^2=25$$  

$$5\cos x+5\sin y=5$$  

$$25\cos x+25\sin y=25$$  

$$r=\sin\theta$$  

$$r=2\cos\theta$$  

$$r=2\left(1+\cos\theta\right)$$  

$$r=\sec\theta$$  

$$r=2\left(1+\sin\theta\right)$$  

$$\frac{x^2}{16}+\frac{y^2}{64}=1$$  

$$y=x^2-4\ \ \ \ x\ge0$$  

$$y=\frac{5}{4}\left(x+1\right)+1$$  

$$y=\ln\left(x\right)$$  

$$y=x^4+1$$