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Popular >

integral from 1 to 3 of (x^3+1)

Solution

\int_{1}^{3} (x^{3} + 1) d x

Solution

22

Solution steps

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

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

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

= 20 + 2

Simplify

= 22

Popular Examples

integral from-2 to 1 of (2-x)-x^2

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

integral from 0 to x of 1/((1+x)^2)

\int_{0}^{x} \frac{1}{( 1 + x ) ^{2}} d x

integral from 4 to 7 of (2x+1)e^{0.4x}

\int_{4}^{7} (2 x + 1) e^{0.4 x} d x

integral from 0 to log_{3 of (5)}3^x

\int_{0}^{l o g_{3} (5)} 3^{x} d x

integral from 0 to 2 of (6x^2)/(2+x^3)

\int_{0}^{2} \frac{6 x ^{2}}{2 + x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x^3+1) ?
The integral from 1 to 3 of (x^3+1) is 22