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Popular >

integral from 0 to 1 of x^3+3x^2

Solution

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

Solution

\frac{5}{4}

+1

Decimal Notation

1.25

Solution steps

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

\int_{0}^{1} x^{3} d x = \frac{1}{4}

\int_{0}^{1} 3 x^{2} d x = 1

= \frac{1}{4} + 1

Simplify

\frac{1}{4} + 1 : \frac{5}{4}

= \frac{5}{4}

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\int_{0}^{5} 3 t^{2} - 36 t + 105 d t

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\int_{1}^{2} (x^{2} - 4 x) d x

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\int_{0}^{t} sin (3 π t) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^3+3x^2 ?
The integral from 0 to 1 of x^3+3x^2 is 5/4