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Popular >

integral from 1 to 5 of x^3+8x-4

Solution

\int_{1}^{5} x^{3} + 8 x - 4 d x

Solution

236

Solution steps

\int_{1}^{5} x^{3} + 8 x - 4 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_{1}^{5} x^{3} d x + \int_{1}^{5} 8 x d x - \int_{1}^{5} 4 d x

\int_{1}^{5} x^{3} d x = 156

\int_{1}^{5} 8 x d x = 96

\int_{1}^{5} 4 d x = 16

= 156 + 96 - 16

Simplify

= 236

Popular Examples

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\int_{3}^{4} 2 x^{2} d x

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\int_{- 1}^{1} 3 x^{5} ∣ x ∣ d x

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

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

integral from 1 to 16 of 2x^{-3/2}

\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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of x^3+8x-4 ?
The integral from 1 to 5 of x^3+8x-4 is 236