Find the indefinite integral.
-$\int \cos ( 2 x + 1 )$ dx
A) -cos (2x + 1) + C
B) $\frac { 1 } { 2 }$ sin(2x + 1) + C
C) sin (2x + 1) + C
D) 2cos (2x + 1) + C
E) none of these

Question

Find the indefinite integral. 
-$\int \cos ( 2 x + 1 )$ dx
A) -cos (2x + 1) + C
B) $\frac { 1 } { 2 }$ sin(2x + 1) + C
C) sin (2x + 1) + C
D) 2cos (2x + 1) + C
E) none of these

Quizplus · Accepted Answer

The integral of $\cos(2x + 1)$ dx is $\frac{1}{2}\sin(2x + 1) + C$ because when integrating a cosine function, the result is a sine function, and the coefficient $1/2$ compensates for the derivative of the inner function $2x + 1$ due to the chain rule.

Find the Indefinite Integral ∫cos⁡(2x+1)\int \cos ( 2 x + 1 )∫cos(2x+1)

Find the Indefinite Integral $\int \cos ( 2 x + 1 )$