 # Integral Calculus Questions and Answers

Recent questions in Integral Calculus Angel Malone 2022-05-23 Answered

### What is the polar form of $\left(216,-6\right)$ ? res2bfitjq 2022-05-23 Answered

### For $f\left(t\right)=\left(\frac{1}{t},-\frac{1}{{t}^{2}}\right)$ what is the distance between $f\left(2\right)$ and $f\left(5\right)$? Monserrat Sawyer 2022-05-22 Answered

### Differentiate the parametric function and find dy/dx and ${d}^{2}y/d{x}^{2}$Differentiate the parametric function and find $\frac{\mathrm{d}y}{\mathrm{d}x}$ and $\frac{{\mathrm{d}}^{2}y}{\mathrm{d}{x}^{2}}$ in terms of "t" when:$x=\frac{1}{t-1}$ and $y=\frac{1}{t+1}$I have first started by finding $\frac{\mathrm{d}y}{\mathrm{d}x}$ by finding $\frac{\mathrm{d}x}{\mathrm{d}t}$ and $\frac{\mathrm{d}y}{\mathrm{d}t}$ which comes to$\frac{\mathrm{d}x}{\mathrm{d}t}=\mathrm{ln}|t-1|$and $\frac{\mathrm{d}y}{\mathrm{d}t}=\mathrm{ln}|t+1|$and used $\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{\mathrm{d}y/\mathrm{d}t}{\mathrm{d}x/\mathrm{d}t}$, which gives$\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{\mathrm{ln}|t+1|}{\mathrm{ln}|t-1|}$ now if I divide them by each other doesn't it equal to 0? What have I done wrong here? Ryker Stein 2022-05-22 Answered

### Find${\int }_{a}^{b}\frac{1}{\sqrt{\left(x-a\right)\left(b-x\right)}}dx$ Isaiah Owens 2022-05-22 Answered

### How do you write the cartesian equation for $x=t-2$ and $y=-\left({t}^{2}\right)+t+2?$ Angel Malone 2022-05-22 Answered

### How do you find the angle between the planes $2x+5y-z=6$ and $3x-2y+6z=10$ ? Ryker Stein 2022-05-22 Answered

### Integrate $\int \frac{1}{1+\mathrm{sin}x}\phantom{\rule{mediummathspace}{0ex}}dx$ using substitution $u=1+\mathrm{sin}x$ Monfredo0n 2022-05-22 Answered

### What is the polar form of $\left(-1,121\right)$ ? qtbabe9876a9 2022-05-22 Answered

### What is the polar form of $\left(4,32\right)$ ? qtbabe9876a9 2022-05-22 Answered

### For $f\left(t\right)=\left(\mathrm{ln}t-{e}^{t},\frac{{t}^{2}}{{e}^{t}}\right)$ what is the distance between f(2) and f(4)? Neliswa Dlamini 2022-05-21

###  Loreenwk 2022-05-21 Answered

### What is the polar form of $\left(4,-2\right)$ ? cyfwelestoi 2022-05-21 Answered

### Converting between explicit function and parametric functionGiven an explicit function $y=f\left(x\right)$, how to convert it to the respective parametric functions $x={f}_{1}\left(t\right)\phantom{\rule{thickmathspace}{0ex}}y={f}_{2}\left(t\right)$ ?Given parametric functions $x={f}_{1}\left(t\right)\phantom{\rule{thickmathspace}{0ex}}y={f}_{2}\left(t\right)$, how to obtain the respective implicit function $f\left(x,y\right)=0$ ? reryfaikear 2022-05-20 Answered

### I have the folllwoing integraland I would like to know why exaclty one can rewrite it as follows$\left({\int }_{0}^{\pi /4}{\mathrm{sin}}^{2}\left(\rho \right)-\mathrm{cos}\left(\rho \right){\mathrm{sin}}^{2}\left(\rho \right)\phantom{\rule{thinmathspace}{0ex}}d\rho \right){\int }_{0}^{2\pi }\mathrm{sin}\theta \phantom{\rule{thinmathspace}{0ex}}d\theta .$ hughy46u 2022-05-20 Answered

### What is the polar form of (19, 55)? Anahi Jensen 2022-05-20 Answered

### Getting a differential equation from a parametric function family Isaiah Farrell 2022-05-20 Answered

### For $f\left(t\right)=\left(\mathrm{sin}2t,{\mathrm{cos}}^{2}t\right)$ what is the distance between $f\left(\frac{\pi }{4}\right)$ and $f\left(\pi \right)$ skottyrottenmf 2022-05-19 Answered

### Compute${\iint }_{D}\frac{{x}^{2}}{\sqrt{1+{x}^{2}+{y}^{2}}}dxdy$where $D=\left\{\left(x,y\right)|{x}^{2}+{y}^{2}\le 1,x\ge 0\right\}$ Nylah Burnett 2022-05-19 Answered

### What is the polar form of $\left(11,-8\right)$ ? agdv9m 2022-05-19 Answered

### What is the distance between the following polar coordinates?:$\left(-3,\frac{7\pi }{4}\right),\left(5,\frac{5\pi }{8}\right)$

If you’re looking for integral calculus problems with answers, you came to the right place. We offer help with various integral calculus practice problems with explanations. Take a look at the answers. These will contain not only calculations and algebraic equations because integral calculus includes integral word problems that are often provided as a way to help students learn. It’s also a reason why most people struggle with calculus integral problems and approach them as something more complex than it really is. See various answers to integral calculus problems and remember to compare your instructions with the solutions provided below.