Evaluate the integral.
-$$\int _ { 0 } ^ { \pi } \theta d \theta$$
A) $\frac { 3 \pi ^ { 2 } } { 8 }$
B) $2 \pi ^ { 2 }$
C) $\frac { 9 \pi ^ { 2 } } { 8 }$
D) $\frac { \pi ^ { 2 } } { 2 }$

Question

Quizplus · Accepted Answer

The integral $\int _ { 0 } ^ { \pi } \theta d \theta$ can be solved by using the power rule for integration. The integral of $\theta$ with respect to $\theta$ is $\frac{1}{2}\theta^2$, evaluated from 0 to $\pi$. This gives $\frac{1}{2}\pi^2 - \frac{1}{2}(0)^2 = \frac{\pi^2}{2}$.

Evaluate the Integral ∫0πθdθ\int _ { 0 } ^ { \pi } \theta d \theta∫0π​θdθ

Evaluate the Integral $\int _ { 0 } ^ { \pi } \theta d \theta$