What is the antiderivative of $5 + cos x$ $5+cosx$ ?

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What is the antiderivative of $5 + cos x$ $5+cosx$ ?

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Answer 1 · 2016-06-15T05:53:38

5x + sinx + C

Explanation:

Split into two integrals; $\int_{_} 5 d x$ $int__5dx$ + $\int_{_} cos (x) d x$ $int__cos(x)dx$
Solve seperately; 5x, sin(x)
Add together; 5x + sin(x)
Add C (it's just a placeholder for a constant) as when you differentiate you may be losing a constant; 5x + sin(x) + C

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What is the antiderivative of $5 + cos x$ $5+cosx$ ?

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What is the antiderivative of 5+cosx5+cosx?

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What is the antiderivative of $5 + cos x$ $5+cosx$ ?