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Popular >

integral from-2 to 3 of (6x^2-5)

Solution

\int_{- 2}^{3} (6 x^{2} - 5) d x

Solution

45

Solution steps

\int_{- 2}^{3} 6 x^{2} - 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_{- 2}^{3} 6 x^{2} d x - \int_{- 2}^{3} 5 d x

\int_{- 2}^{3} 6 x^{2} d x = 70

\int_{- 2}^{3} 5 d x = 25

= 70 - 25

Simplify

= 45

Graph

Popular Examples

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\int_{0}^{40} x^{2} + 10 x - 90 d x

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\int_{1}^{5} 3 x^{2} d x

integral from 0 to 2 of x^2e^{-x^3}

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

integral from 0 to 2pi of-18sin^2(t)

\int_{0}^{2 π} - 18 sin^{2} (t) d t

integral from 0 to 12 of x

\int_{0}^{12} x d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (6x^2-5) ?
The integral from-2 to 3 of (6x^2-5) is 45