Integrate -191x^2 from 0 to 1

\int_{0}^{1}\left(-191\right) x^2dx

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asin
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asinh
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Answer

$-63.6667$

Step by step solution

Problem

$\int_{0}^{1}\left(-191\right) x^2dx$
1

Taking the constant out of the integral

$-191\int_{0}^{1} x^2dx$
2

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

$\left[-191\frac{x^{3}}{3}\right]_{0}^{1}$
3

Simplify the fraction

$\left[-63.6667x^{3}\right]_{0}^{1}$
4

Evaluate the definite integral

$1^{3}\left(-63.6667\right)-1\cdot 0^{3}\left(-63.6667\right)$
5

Multiply $-63.6667$ times $-1$

$0^{3}\cdot 63.6667+1^{3}\left(-63.6667\right)$
6

Calculate the power

$0\cdot 63.6667+1\left(-63.6667\right)$
7

Any expression multiplied by $0$ is equal to $0$

$0+1\left(-63.6667\right)$
8

Multiply $-63.6667$ times $1$

$0-63.6667$
9

Subtract the values $0$ and $-63.6667$

$-63.6667$

Answer

$-63.6667$

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Problem Analysis

Main topic:

Integral calculus

Time to solve it:

0.21 seconds

Views:

122