Evaluate the integral.
-$\int _ { 2 } ^ { \sqrt { 10 } } ( z - \sqrt { 10 } ) d z$
A) $- 5 \sqrt { 10 }$
B) $- \sqrt { 10 }$
C) $- 7 \sqrt { 10 }$
D) $- 7 + 2 \sqrt { 10 }$

Question

Quizplus · Accepted Answer

Use the power rule for integration to arrive at:
$$\frac{1}{2}z^{2}-\sqrt{10}z\Big|_{2}^{\sqrt{10}} = (\frac{1}{2}\cdot 10 - \sqrt{10}\cdot \sqrt{10})-(\frac{1}{2}\cdot 2^{2} - \sqrt{10}\cdot 2)$$
$$= 7-2\sqrt{10} = -7+2\sqrt{10}$$

Evaluate the Integral ∫210(z−10)dz\int _ { 2 } ^ { \sqrt { 10 } } ( z - \sqrt { 10 } ) d z∫210​​(z−10​)dz

Evaluate the Integral $\int _ { 2 } ^ { \sqrt { 10 } } ( z - \sqrt { 10 } ) d z$