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Popular >

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

Solution

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

Solution

15

Solution steps

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

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 2 d x = 6

= 21 - 6

Simplify

= 15

Popular Examples

f (x) = 3 sin (3 x)

integral of 1/(x^2(x-1)^2)

\int \frac{1}{x ^{2} ( x - 1 ) ^{2}} d x

derivative of 3x^5-30x^3

\frac{d}{d x} (3 x^{5} - 30 x^{3})

f (x) = 5 x^{2} - 3 x + 7

(\partial}{\partial x}(\frac{x^3)/3+4y)

\frac{\partial}{\partial x} (\frac{x ^{3}}{3} + 4 y)

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (x^2-2) ?
The integral from 1 to 4 of (x^2-2) is 15