Does This Integral $\int x \sin 10 x d x$ = $\frac { 1 } { 100 }$

question 7

True/False

Does this integral $\int x \sin 10 x d x$ = $\frac { 1 } { 100 }$ sin 10x - $\frac { x } { 10 }$ cos 10x + C?

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Definitions:

Organic Molecules

Complex molecules that contain carbon and are typically found in living organisms, essential for life processes.

Inorganic Molecules

Chemical compounds lacking a carbon-based structure, excluding carbonates and bicarbonates, that are typically found in non-living matter.

Hydrothermal Vents

Openings in the ocean floor that release heated water rich in minerals, supporting unique ecosystems based on chemosynthesis rather than photosynthesis.

Mass Depletion

refers to the significant reduction of natural resources or materials on Earth due to human activities or natural processes.