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Popular >

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

Solution

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

Solution

114

Solution steps

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

\int_{3}^{5} 3 x^{2} d x = 98

\int_{3}^{5} 2 x d x = 16

= 98 + 16

Simplify

= 114

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\int_{1}^{13} 6 x^{2} + 3 x - 2 d x

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\int_{0}^{1} \frac{x ^{2}}{x ^{3} + 7} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 5 of 3x^2+2x ?
The integral from 3 to 5 of 3x^2+2x is 114