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Popular >

integral from 0 to 1 of (6-6x^5)

Solution

\int_{0}^{1} (6 - 6 x^{5}) d x

Solution

5

Solution steps

\int_{0}^{1} 6 - 6 x^{5} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} 6 d x - \int_{0}^{1} 6 x^{5} d x

\int_{0}^{1} 6 d x = 6

\int_{0}^{1} 6 x^{5} d x = 1

= 6 - 1

Simplify

= 5

Graph

Popular Examples

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\int_{0}^{3} (x^{2} + e^{x}) d x

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\int_{3}^{x} \frac{1}{t} d t

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\int_{0}^{4} (2 x^{2} + x^{\frac{3}{2}}) d x

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integral from 1/2 to 1/3 of cos(pi)x

\int_{\frac{1}{2}}^{\frac{1}{3}} cos (π) x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (6-6x^5) ?
The integral from 0 to 1 of (6-6x^5) is 5