   Chapter 4.4, Problem 2E

Chapter
Section
Textbook Problem

# Verify by differentiation that the formula is correct. ∫ cos 2 x d x = 1 2 x + 1 4 sin 2 x + C

To determine

To verify:

cos2x dx=12x+14sin2x+C

Explanation

1)  Concept:

i)

ddxf(x)dx=fx

ii) By applying the sum and the power rule for differentiation and differentiation of trigonometric functions, verify the formula.

2) Formula:

cos2x= 1+cos2x2

3) Explanation:

Consider,12x+14sin2x+C

Differentiating with respect to x,

ddx12x+14sin2x+C

Applying differentiation of trigonometric functions, we get

ddx

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