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Popular >

integral from-1 to 3 of 3x^2+5x-1

Solution

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

Solution

44

Solution steps

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

\int_{- 1}^{3} 3 x^{2} d x = 28

\int_{- 1}^{3} 5 x d x = 20

\int_{- 1}^{3} 1 d x = 4

= 28 + 20 - 4

Simplify

= 44

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\int_{4}^{5} 5 d x

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\int_{0}^{1} 3 x^{2} sin (x^{3}) d x

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\int_{0}^{1} x \cdot e^{3 x} d x

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

integral from 0 to 1 of sin(pi)y

\int_{0}^{1} sin (π) y d y

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of 3x^2+5x-1 ?
The integral from-1 to 3 of 3x^2+5x-1 is 44