 # Integral Calculus Questions and Answers

Recent questions in Integrals Ryker Stein 2022-05-22 Answered

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

### Integrate $\int \frac{1}{1+\mathrm{sin}x}\phantom{\rule{mediummathspace}{0ex}}dx$ using substitution $u=1+\mathrm{sin}x$ Neliswa Dlamini 2022-05-21

###  reryfaikear 2022-05-20 Answered

### I have the folllwoing integraland I would like to know why exaclty one can rewrite it as follows$\left({\int }_{0}^{\pi /4}{\mathrm{sin}}^{2}\left(\rho \right)-\mathrm{cos}\left(\rho \right){\mathrm{sin}}^{2}\left(\rho \right)\phantom{\rule{thinmathspace}{0ex}}d\rho \right){\int }_{0}^{2\pi }\mathrm{sin}\theta \phantom{\rule{thinmathspace}{0ex}}d\theta .$ skottyrottenmf 2022-05-19 Answered

### Compute${\iint }_{D}\frac{{x}^{2}}{\sqrt{1+{x}^{2}+{y}^{2}}}dxdy$where $D=\left\{\left(x,y\right)|{x}^{2}+{y}^{2}\le 1,x\ge 0\right\}$ indimiamimactjcf 2022-05-15 Answered

### Compute the volume enclosed by the surface${\left(\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}+\frac{{z}^{2}}{{c}^{2}}\right)}^{2}=\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}-\frac{{z}^{2}}{{c}^{2}}.$ Kendall Oneill 2022-05-15 Answered

### How to change the order of integration:${\int }_{-1}^{1}dx{\int }_{1-{x}^{2}}^{2-{x}^{2}}f\left(x,y\right)dy$ Sappeycuii 2022-05-13 Answered

### Find the integral: $\int -\sqrt{-{t}^{2}-2t}dt$. Jay Barrett 2022-05-13 Answered

### Find the integral: $\int \frac{{e}^{x}}{\sqrt{9-4{e}^{2x}}}dx$. Thaddeus Sanders 2022-05-13 Answered

### Evaluate $\int \frac{1}{\sqrt{-3{t}^{2}+3t+1}}dt$. Matilda Webb 2022-05-13 Answered

### Integrate $-\frac{3{x}^{3}}{2}﻿+\frac{{x}^{2}}{2}-2x+3\mathrm{sin}\left(3x\right)$ with respect to x. hard12bb30crg 2022-05-13 Answered

### Compute $\int \left(\frac{3}{2{x}^{3}}-\frac{2}{x}+\mathrm{sin}\left(x\right)+\mathrm{cos}\left(3x\right)\right)dx$. Oberhangaps5z 2022-05-13 Answered

### Integrate $-\frac{3{x}^{3}}{2}﻿+3x+\frac{3}{2}\mathrm{cos}\left(3x\right)-1$ with respect to x. Aedan Tyler 2022-05-13 Answered

### I tried solving the following integral using integral by parts :$\int \frac{{x}^{3}}{\left({x}^{2}+1{\right)}^{2}}dx$ Blaine Stein 2022-05-12 Answered

### Evaluate $\int -\frac{1}{\sqrt{{t}^{2}+t-1}}﻿dt$. Nubydayclellaumvcd 2022-05-12 Answered

### Compute $\int -\sqrt{{t}^{2}+2t}﻿dt$. poklanima5lqp3 2022-05-12 Answered

### Find the integral: $\int -\frac{2}{\sqrt{-{x}^{2}-5x+1}}﻿dx$. Cesar Mcguire 2022-05-12 Answered

### Evaluate $\int {e}^{t}﻿\sqrt{1-9{e}^{2t}}dt$. Direkotogbkmn 2022-05-12 Answered

### Integrate $\frac{1}{\sqrt{{t}^{2}-3t-3}}$ with respect to t. dumnealorjavgj 2022-05-12 Answered

### Integrate $\frac{1}{\sqrt{-{x}^{2}+3x+1}}$ with respect to x.

Although solving integrals starts in high school, these answers that are provided are related to post-secondary problems that are approached by Data Science students, economists, and engineers in their daily tasks. It’s a reason why integral questions that you will see below will span across a wide range of problems. You can also compare your integral problem and see equations that relate to your question. Alternatively, it will help you with solving integrals step by step. There are many methods to do that as the provided answers show. Starting with solving integrals with substitution to variables, the help is there.