Learn Integrals with Examples and Practice Problems

I have an integral here that I'm trying to figure out.
$\int 7 \sin^{2} x \cos^{4} x d x$

basura8w081 2022-03-31

I have this integral to evaluate:
$\int e^{x} (1 - e^{x}) {(1 + e^{x})}^{10} d x$

Alfredo Holmes 2022-03-31

Solving integral:
$\int 3^{x} e^{x} d x$

Oxinailelpels3t14 2022-03-31

How to solve
$\int_{0}^{π} \sin 2 x \sin x d x$

nastupnat0hh 2022-03-31

Proving an integral
$\int \frac{d x}{a^{2} + x^{2}} = \frac{1}{a} \arctan \frac{x}{a} + C$
where C is constant.

Zoie Phillips 2022-03-30

How would you compute for the definite integral of
$\int_{0}^{\infty} \frac{d x}{{(1 + x^{2})}^{4}}$

Anahi Solomon 2022-03-30

How would one integrate the following?
$\int \frac{x^{n - 2}}{{(1 + x)}^{n}} d x$

Aleah Choi 2022-03-29

I need help to evaluate the integral:
$\int \frac{x^{2} - 2 x + 7}{\sqrt[3]{4 x - 1}} d x$

zatajuxoqj 2022-03-27

Help showing $\int_{0}^{1} \frac{d x}{x \log \frac{1}{x}}$ is unbounded

Marzadri9lyy 2022-03-26

Help solving another integral
$\int {(2 x^{2} + 4 x - 2)}^{- \frac{3}{2}} d x$

Blackettyl2j 2022-03-24

How do I evaluate this integral?
$lim_{ϵ \to 0} \int \frac{1}{x^{1 + ϵ}} d x$

afadimoz4 2022-03-19

Can someone simply explain to me how to calculate linear integral linke below?
$\int_{L} 5 y d L$
where L is line segment from (0;0) to (0,2;0,2)

\int_0^1 (1)/(1+\root(3)(x))dx

Shayla Massey 2022-03-17

Calculating with Mathematica, one can have
$\int_{0}^{\frac{π}{2}} \frac{\sin^{3} t}{\sin^{3} t + \cos^{3} t} d t = \frac{π}{4}$

Ashlynn Rhodes 2022-03-16

Can this integral $\int_{0}^{2 π} \frac{d θ}{{(a^{2} \cos^{2} θ + b^{2} \sin^{2} θ)}^{\frac{3}{2}}}$ be written in the form of a elliptic integral

daet.nathaniel74 2022-02-17

Solve this equation please

Cameron Russell 2022-01-25

What is the value of integral $\int \frac{d x}{\sqrt{x^{2} + 9}}$

elbluffz1 2022-01-25

How is the integral $\frac{2}{π} \int_{0}^{π} x^{2} \cos (n x) d x = \frac{4 {(- 1)}^{n}}{n^{2}}$ ?
I thought it would be this :
$\frac{2}{π} \int_{0}^{π} x^{2} \cos (n x) d x = \frac{2}{π} \int_{0}^{π} x^{2} {(- 1)}^{n} = \frac{2}{π} {(- 1)}^{n} \int_{0}^{π} x^{2} = \frac{2}{π {(- 1)}^{n}} {[\frac{x^{3}}{3}]}_{0}^{π} = \frac{2 {(- 1)}^{n}}{3 π^{3}}$
But it is actually
$\frac{2}{π} \int_{0}^{π} x^{2} \cos (n x) d x = \frac{4 {(- 1)}^{n}}{n^{2}}$

amevaa0y 2022-01-25

Showing that $\int_{0}^{π} \sin (k x) \sin (x) d x = π$ for odd integer k

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Calculus 1

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