Question

Determine l=
∫2cosxdx
,given that l=7 when x=
π2

Answer 1

Answer on Question #45744 – Math – Integral Calculus

Determine $I = \int 2\cos x \, dx$, given that $I = 7$ when $x = 2\pi$.

Solution

$$I = \int 2 \cos x \, dx = 2 \int \cos x \, dx = 2 \sin x + c$$ $$I(2\pi) = 2 \sin(2\pi) + c = 0 + c = 7 \Rightarrow I = 2 \sin x + 7$$

Answer: $I = 2 \sin x + 7$

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