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Popular >

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

Solution

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

Solution

22

Solution steps

\int_{0}^{2} 3 t^{3} + 5 t d t

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}^{2} 3 t^{3} d t + \int_{0}^{2} 5 t d t

\int_{0}^{2} 3 t^{3} d t = 12

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

= 12 + 10

Simplify

= 22

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\int_{0}^{t} i (t) d t

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\int_{1}^{9} x - 1 d x

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\int_{1}^{2} \frac{1}{1 + x ^{2}} d x

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\int_{0}^{t} (t + 2) d t

integral from 0 to pi of sin(2x)cos(3x)

\int_{0}^{π} sin (2 x) cos (3 x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (3t^3+5t) ?
The integral from 0 to 2 of (3t^3+5t) is 22