Integrate 1/1+x^2 from nf*i*-1 to nf*i

\int_{-i\cdot n\cdot f}^{in\cdot f}\left(\frac{1}{1}+x^2\right)dx

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asin
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asinh
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Answer

$0$

Step by step solution

Problem

$\int_{-i\cdot n\cdot f}^{in\cdot f}\left(\frac{1}{1}+x^2\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{-f\cdot ni}^{f\cdot ni} x^2dx+\int_{-f\cdot ni}^{f\cdot ni}1dx$
2

The integral of a constant is equal to the constant times the integral's variable

$\int_{-f\cdot ni}^{f\cdot ni} x^2dx+\left[x\right]_{-f\cdot ni}^{f\cdot ni}$
3

Evaluate the definite integral

$\int_{-f\cdot ni}^{f\cdot ni} x^2dx-x+x$
4

Subtracting $x$ and $x$

$\int_{-f\cdot ni}^{f\cdot ni} x^2dx+0$
5

$x+0=x$, where $x$ is any expression

$\int_{-f\cdot ni}^{f\cdot ni} x^2dx$
6

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\left[\frac{x^{3}}{3}\right]_{-f\cdot ni}^{f\cdot ni}$
7

Evaluate the definite integral

$\frac{x^{3}}{3}-\frac{x^{3}}{3}$
8

Add fraction's numerators with common denominators: $\frac{x^{3}}{3}$ and $\frac{x^{3}}{3}$

$\frac{x^{3}-x^{3}}{3}$
9

Subtracting $x^{3}$ and $x^{3}$

$\frac{0}{3}$
10

Divide $0$ by $3$

$0$

Answer

$0$

Problem Analysis

Main topic:

Integral calculus

Time to solve it:

0.4 seconds

Views:

98