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

The integral from-2 to 1 of sqrt(1+(-3)^2) is 3sqrt(10)

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

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

310

Decimal

9.48683 \dots

Solution steps

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

Integral of a constant:

\int a d x = a x

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

1 + (- 3)^{2} = 10

= [10 x]_{- 2}^{1}

Compute the boundaries:

310

= 310

What is the integral from-2 to 1 of sqrt(1+(-3)^2) ?
The integral from-2 to 1 of sqrt(1+(-3)^2) is 3sqrt(10)