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Popular >

integral from-1 to 1 of 3x^5|x|

Solution

\int_{- 1}^{1} 3 x^{5} ∣ x ∣ d x

Solution

0

Solution steps

\int_{- 1}^{1} 3 x^{5} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} 3 x^{5} (- x) d x + \int_{0}^{1} 3 x^{5} x d x

\int_{- 1}^{0} 3 x^{5} (- x) d x = - \frac{3}{7}

\int_{0}^{1} 3 x^{5} x d x = \frac{3}{7}

= - \frac{3}{7} + \frac{3}{7}

Simplify

= 0

Popular Examples

integral from 0 to 1 of 1/(100+x^2)

\int_{0}^{1} \frac{1}{100 + x ^{2}} d x

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\int_{1}^{16} 2 x^{- \frac{3}{2}} d x

integral from 1 to 4 of xsqrt(x^2+1)

\int_{1}^{4} x x^{2} + 1 d x

integral from 1 to 4 of 1/(6x)

\int_{1}^{4} \frac{1}{6 x} d x

integral from 2 to 3 of t

\int_{2}^{3} t d t

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 3x^5|x| ?
The integral from-1 to 1 of 3x^5|x| is 0