Primitive of Constant Multiple of Function/Examples/2 cos x

Example of Use of Primitive of Constant Multiple of Function

$\ds \int 2 \cos x \rd x = 2 \sin x + C$

Proof

\(\ds \int 2 \cos x \rd x\)

\(=\)

\(\ds 2 \int \cos x \rd x\)

Primitive of Constant Multiple of Function

\(\ds \)

\(=\)

\(\ds 2 \sin x + C\)

Primitive of Cosine Function

$\blacksquare$

Sources

• 1945: A. Geary, H.V. Lowry and H.A. Hayden: Advanced Mathematics for Technical Students, Part I ... (previous) ... (next): Chapter $\text {III}$: Integration: Three rules for integration: $\text {I}$