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ln (\frac{∣ x + 1 - 1 ∣}{x + 1 + 1}) + С

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Differenzia rispetto a x

\frac{x + 1 s i g n ( x + 1 - 1 ) + s i g n ( x + 1 - 1 ) - ∣ x + 1 - 1 ∣}{2 x + 1 ∣ x + 1 - 1 ∣ ( x + 1 + 1 )}

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Quiz

\int \frac{d x}{x x + 1}

Problemi simili da ricerca Web

How do you evaluate the integral

\int \frac{d x}{3 x + 1}

https://socratic.org/questions/how-do-you-evaluate-the-integral-int-dx-root3-x-1

The integral is equal to

\frac{3}{2} (x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} + 2 ln ∣ ∣ ∣ ∣ x^{\frac{1}{3}} + 1 ∣ ∣ ∣ ∣) + C

= \int \frac{1}{3 x + 1}

\int \frac{d x}{x ( 1 - x )}

https://math.stackexchange.com/questions/1891834/integration-int-fracdx-sqrtx1-x

if you make the substitution

x = u^{2}

the integral becomes:

\int_{0}^{z} \frac{2}{π 1 - u ^{2}} d u

\int \frac{x}{x + 1} d x

https://www.quora.com/What-is-displaystyle-int-frac-x-sqrt-x-1-dx

\int \frac{x}{x + 1} d x

= \int \frac{x + 1}{x + 1} d x - \int \frac{1}{x + 1} d x

= \int x + 1 d x - \int \frac{1}{x + 1} d x

= \frac{2}{3} (x + 1)^{3 / 2} - 2 x + 1 + c

How to integrate

\int \frac{1}{x x + 1} d x

u

s

substitution or

u^{2}

https://math.stackexchange.com/questions/2092915/how-to-integrate-int-frac1x-sqrtx1-mathrmdx-using-u-and-s-sub

u^{2} = x + 1

2 u d u = d x

u^{2} - 1 = x

. This was done to remove the square root. Then we get

\int \frac{2 u}{u ( u ^{2} - 1 )} d u = \int \frac{2}{( u - 1 ) ( u + 1 )} d u = \int (\frac{1}{u - 1} - \frac{1}{u + 1}) d u

Calculus 2 integral

\int \frac{2}{x x + 1} d x

https://math.stackexchange.com/questions/690419/calculus-2-integral-int-frac2x-sqrtx1-dx

u = x + 1

u^{2} = x + 1 ⟺ x = u^{2} - 1

d x = 2 u d u

. That gives you the integral

\int \frac{2 u d u}{u ( u ^{2} - 1 )} = 2 \int \frac{d u}{u ^{2} - 1}

Now we have our rational ...

How do you find the integral of

\int \frac{d x}{2 x - 1}

https://socratic.org/questions/how-do-you-find-the-integral-of-int-dx-sqrt-2x-1-from-1-2-to-2

Try the substitution

u = 2 x - 1

in hopes of getting

\int u^{- \frac{1}{2}} d u

. Explanation: With

u = 2 x - 1

d u = 2 d x

Condividi

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Esempi

Equazione quadratica

x^{2} - 4 x - 5 = 0

4 sin θ cos θ = 2 sin θ

Equazione lineare

y = 3 x + 4

699 * 533

[2534] [2 - 1 0135]

Equazione simultanea

{8 x + 2 y = 46 7 x + 3 y = 47

Differenziazione

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

\int_{0}^{1} x e^{- x^{2}} d x

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}