∫( cos x-1/sin x +1) ex dx is equal to :

Question

∫( cos x-1/sin x +1) ex dx is equal to : (A)  (ex cos x /1 + sin x) +c  (B)  c - (ex sin x /1 + sin x)  (C)  c - (ex /1 + sin x)  (D)  c - (ex cos x /1 + sin x)

Tardigrade Admin · Accepted Answer

Correct answer is (a) (ex cos x /1 + sin x) +c

Q. $\int \frac{cos x - 1}{s in x + 1} e^{x} d x$ is equal to :

$\frac{e ^{x} cos x}{1 + s in x} + c$

$c - \frac{e ^{x} s in x}{1 + s in x}$

$c - \frac{e ^{x}}{1 + s in x}$

$c - \frac{e ^{x} cos x}{1 + s in x}$

Correct answer is (a) $\frac{e ^{x} cos x}{1 + s in x} + c$

Q. ∫sinx+1cosx−1​exdx is equal to :

1+sinxexcosx​+c

c−1+sinxexsinx​

c−1+sinxex​

c−1+sinxexcosx​