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Popular >

integral from 0 to 5 of (3x^2+2)

Solution

\int_{0}^{5} (3 x^{2} + 2) d x

Solution

135

Solution steps

\int_{0}^{5} 3 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_{0}^{5} 3 x^{2} d x + \int_{0}^{5} 2 d x

\int_{0}^{5} 3 x^{2} d x = 125

\int_{0}^{5} 2 d x = 10

= 125 + 10

Simplify

= 135

Graph

Popular Examples

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

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\int_{6}^{7} x^{2} - 2 x - 24 d x

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\int_{1}^{2} \frac{ln ( x )}{x} d x

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\int_{3}^{6} t^{2} ln (t) d t

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\int_{- \frac{π}{3}}^{\frac{π}{3}} csc^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (3x^2+2) ?
The integral from 0 to 5 of (3x^2+2) is 135