Question

Compute $\int _{\frac{4}{5}}^2\:f^{-1}\left(x\right)dx$ where $f\left(x\right)=\frac{-x^3+2x^2-5x+8}{x^2+4},\:x\in \mathbb{R}$ is bijection.

score 189 · Answer 1 · 2015-04-20 12:57:48

189

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Compute $\int _{\frac{4}{5}}^2\:f^{-1}\left(x\right)dx$ where $f\left(x\right)=\frac{-x^3+2x^2-5x+8}{x^2+4},\:x\in \mathbb{R}$ is bijection.

Published on 20 Apr 2015 - 12:57

score 136 · Answer 2 · 2026-03-26 14:20:45

136

Views

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Published on 26 Mar 2026 - 14:20

score 336 · Answer 3 · 2015-05-30 20:09:52

336

Views

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score 270 · Answer 4 · 2015-07-11 19:33:38

270

Views

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score 267 · Answer 5 · 2015-11-14 08:46:17

267

Views

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Published on 14 Nov 2015 - 8:46

score 5k · Answer 6 · 2015-11-19 17:41:20

5k

Views

Find the inverse of $f(x)=x^2-1 , \ x \in \mathbb{R}, \ x \geq 1$

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score 2.9k · Answer 7 · 2015-11-20 17:29:33

2.9k

Views

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score 113 · Answer 8 · 2026-03-29 04:26:33

113

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48

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score 159 · Answer 10 · 2015-11-27 04:34:47

159

Views

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Published on 27 Nov 2015 - 4:34

score 271 · Answer 11 · 2015-12-06 16:47:16

271

Views

If $F$ is analytic and injective on the unit disc and $B(F(0), |F'(0)|)\subseteq F(B(0,1))$, then $F(z)= F(0) + F'(0)z$.

Published on 06 Dec 2015 - 16:47

score 50 · Answer 12 · 2015-12-07 21:36:34

50

Views

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Published on 07 Dec 2015 - 21:36

score 385 · Answer 13 · 2026-03-31 09:27:29

385

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score 49 · Answer 14 · 2015-12-10 15:28:45

49

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score 645 · Answer 15 · 2026-03-23 10:06:38

645

Views

Sum of all the $x$- and $y$-intercepts of the graph of $f(x)$ is equal to the sum of all the $x$- and $y$-intercepts of the graph of $f^{-1}(x)$

Published on 23 Mar 2026 - 10:06

List Question

Compute $\int _{\frac{4}{5}}^2\:f^{-1}\left(x\right)dx$ where $f\left(x\right)=\frac{-x^3+2x^2-5x+8}{x^2+4},\:x\in \mathbb{R}$ is bijection.

Inverse of $f(x)=x+\sin(x)$

Finding the inverse of an exponential function

What is the relation between $\frac{d^2y}{dx^2}$ and $\frac{d^2x}{dy^2}$?

How is the Inverse function theorem used to prove that the formulae in this question are the same?

Find the inverse of $f(x)=x^2-1 , \ x \in \mathbb{R}, \ x \geq 1$

Is the inverse of a function bijective as well? Why?

Two function issues (Inverse and behavior)

Graphs of functions

"Good approximation" for the inverse function of $y = x\log_2 x, \hspace{2mm}x>1 $?

If $F$ is analytic and injective on the unit disc and $B(F(0), |F'(0)|)\subseteq F(B(0,1))$, then $F(z)= F(0) + F'(0)z$.

Open Subsets of $\Bbb R$

Inverses of Rational Functions

Solve the analysis problem topics related to matrices

Sum of all the $x$- and $y$-intercepts of the graph of $f(x)$ is equal to the sum of all the $x$- and $y$-intercepts of the graph of $f^{-1}(x)$

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