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Popular >

integral from 1 to 2 of (5x^4-1)

Solution

\int_{1}^{2} (5 x^{4} - 1) d x

Solution

30

Solution steps

\int_{1}^{2} 5 x^{4} - 1 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}^{2} 5 x^{4} d x - \int_{1}^{2} 1 d x

\int_{1}^{2} 5 x^{4} d x = 31

\int_{1}^{2} 1 d x = 1

= 31 - 1

Simplify

= 30

Graph

Popular Examples

integral from 0 to 1 of x^3sqrt(7-5x^4)

\int_{0}^{1} x^{3} 7 - 5 x^{4} d x

integral from 0 to x^2 of (sin(t))/t

\int_{0}^{x^{2}} \frac{sin ( t )}{t} d t

integral from 0 to 1 of 3sqrt(1-x^2)

\int_{0}^{1} 3 1 - x^{2} d x

integral from 1 to infinity of x*e^{-2x}

\int_{1}^{\infty} x \cdot e^{- 2 x} d x

integral from 0 to 2pi of tan(x)

\int_{0}^{2 π} tan (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (5x^4-1) ?
The integral from 1 to 2 of (5x^4-1) is 30