# Calculus 1: Integrals questions and answers

Recent questions in Integrals
codosse2e 2022-05-21

### How to prove that ${\int }_{0}^{1}{x}^{a}\left(1-x{\right)}^{b}dx={\int }_{0}^{1}{x}^{b}\left(1-x{\right)}^{a}dx$

Liberty Mack 2022-05-21

### Find the solution:${\int }_{0}^{\pi }\frac{x\mathrm{tan}x}{\mathrm{sec}x\mathrm{tan}x}dx$

Hayley Sanders 2022-05-20

### The integral$\int {\mathrm{cos}}^{12}\left(x\right)\phantom{\rule{mediummathspace}{0ex}}{\mathrm{sin}}^{12}\left(x\right)\phantom{\rule{thickmathspace}{0ex}}dx$can be reduced to the form$k\int {\mathrm{sin}}^{p}\left(u\right)\left(1+\mathrm{cos}\left(u\right){\right)}^{r}\left(1-\mathrm{cos}\left(u\right){\right)}^{s}\phantom{\rule{thickmathspace}{0ex}}du$by using trigonometric identities and the substitution $u=2x$

istupilo8k 2022-05-19

### I am trying to find the integral to$\frac{3x}{\left(x+1{\right)}^{4}}$

Isaiah Owens 2022-05-19

### How to solve ${\int }_{0}^{1}{\int }_{0}^{1}\sqrt{1-x}\sqrt{1-y}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}dxdy$

lnwlf1728112xo85f 2022-05-14

### Evaluate ${\int }_{0}^{\mathrm{\infty }}\frac{{x}^{2}\mathrm{ln}x}{{x}^{4}+{x}^{2}+1}dx$ by the residue theorem

Karissa Sosa 2022-05-13

### Show that:${\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{\mathrm{sin}\left(2\pi \left(x-a\right)\right)}{\pi \left(x-a\right)}\frac{\mathrm{sin}\left(2\pi \left(x-b\right)\right)}{\pi \left(x-b\right)}dx=\frac{\mathrm{sin}2\pi \left(a-b\right)}{\pi \left(a-b\right)}$

britesoulusjhq 2022-05-07

### Find the integral of $2{t}^{5}+t+3$ with respect to t.

Daphne Fry 2022-05-07

### Find the integral of $2{x}^{2}﻿-2x-2$ with respect to x.

kazue72949lard 2022-05-07

### Find the integral of $-4{x}^{2}﻿-3$ with respect to x.

robinmarian9nhn8 2022-05-07

### Find the integral of ${t}^{4}$ with respect to t.

measgachyx5q9 2022-05-06

### What is $\int \frac{8}{9}﻿x\mathrm{cos}\left(3x\right)dx$?

Ashley Fritz 2022-05-06

### What is $\int \frac{2}{3}﻿{e}^{-x}{x}^{2}dx$?

Iyana Macdonald 2022-05-06

### What is $\int \frac{3}{4}﻿t\mathrm{cos}\left(5t\right)dt$?

Bernard Mora 2022-05-06

### Find the integral of $\frac{3}{2}t\mathrm{sin}\left(5t\right)$ with respect to t.

Alaina Holt 2022-05-06

### Find the integral of ${t}^{7}-4$ with respect to t.

Kazeljkaml5n9y 2022-05-06

### Find the integral of $-{x}^{2}﻿+3x-2$ with respect to x.

Autumn Pham 2022-05-05

### Find the integral of $\frac{2{e}^{x}{x}^{2}}{7}$ with respect to x.

encamineu2cki 2022-05-05

### Find the integral of $\frac{7}{8}﻿{e}^{2t}{t}^{2}$ with respect to t.

tuehanhyd8ml 2022-05-05

### What is $\int \left(-{x}^{2}-2\right)dx$?

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