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The Integral 2xcosxdx\int 2 ^ { x } \cos x d x

Question 24

Multiple Choice

The integral 2xcosxdx\int 2 ^ { x } \cos x d x is


A) 2x(sinxln2cosx) (ln2) 2+1+C- \frac { 2 ^ { x } ( \sin x - \ln 2 \cos x ) } { ( \ln 2 ) ^ { 2 } + 1 } + C
B) 2x(sinxln2cosx) (ln2) 21+C\frac { 2 ^ { x } ( \sin x - \ln 2 \cos x ) } { ( \ln 2 ) ^ { 2 } - 1 } + C
C) 2x(sinx+ln2cosx) (ln2) 21+C\frac { 2 ^ { x } ( \sin x + \ln 2 \cos x ) } { ( \ln 2 ) ^ { 2 } - 1 } + C
D) 2x(sinxln2cosx) (ln2) 2+1+C\frac { 2 ^ { x } ( \sin x - \ln 2 \cos x ) } { ( \ln 2 ) ^ { 2 } + 1 } + C
E) 2x(sinx+ln2cosx) (ln2) 2+1+C\frac { 2 ^ { x } ( \sin x + \ln 2 \cos x ) } { ( \ln 2 ) ^ { 2 } + 1 } + C

Correct Answer:

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