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Question

Question: \(\int_{}^{}\frac{\mathbf{e}^{\mathbf{x}}\mathbf{dx}}{\mathbf{\cos}\mathbf{h}\mathbf{x +}\mathbf{\si...

exdxcoshx+sinhx\int_{}^{}\frac{\mathbf{e}^{\mathbf{x}}\mathbf{dx}}{\mathbf{\cos}\mathbf{h}\mathbf{x +}\mathbf{\sin}\mathbf{h}\mathbf{x}}is

A

12\frac{1}{2}e2x + c

B

x + c

C

log (cot hx) + c

D

log (tan hx) + c

Answer

x + c

Explanation

Solution

sin hx = (ex – e–x)/ 2, cos hx = (ex + e–x)/2