What is the integral from-1 to 3 of sqrt(1+(2)^2) ?

The integral from-1 to 3 of sqrt(1+(2)^2) is 4sqrt(5)

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integral from-1 to 3 of sqrt(1+(2)^2)

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

45

Decimal Notation

8.94427 \dots

Solution steps

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

Integral of a constant:

\int a d x = a x

= [1 + 2^{2} x]_{- 1}^{3}

Simplify

= [5 x]_{- 1}^{3}

Compute the boundaries:

45

= 45

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\int_{0}^{5} 15 x^{3} - 2 d x

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What is the integral from-1 to 3 of sqrt(1+(2)^2) ?
The integral from-1 to 3 of sqrt(1+(2)^2) is 4sqrt(5)