Find the value of the integral $\int _ { 0 } ^ { x } x \cos x d x$
A) $- 2$
B) $2 \pi - 2$
C) $\frac { \pi } { 2 }$
D)4
E)2
F) $\pi$
G) $2 \pi$
H) $- 4$

Question

Find the value of the integral $\int _ { 0 } ^ { x } x \cos x d x$
A) $- 2$
B) $2 \pi - 2$
C) $\frac { \pi } { 2 }$
D)4
E)2 
F) $\pi$ 
G) $2 \pi$ 
H) $- 4$

Quizplus · Accepted Answer

The integral $\int _ { 0 } ^ { x } x \cos x d x$ cannot be directly evaluated without knowing the upper limit of the integration variable $x$, and the integral as written is incorrect because it uses $x$ as both an integration limit and an integration variable. However, if we interpret the question as looking for a specific value or principle rather than solving the integral directly, the correct answer cannot be determined from the provided options without additional context or correction to the integral expression.

Find the Value of the Integral ∫0xxcos⁡xdx\int _ { 0 } ^ { x } x \cos x d x∫0x​xcosxdx

Find the Value of the Integral $\int _ { 0 } ^ { x } x \cos x d x$