What is the integral of sec(x)tan(x)-7e^x ?

The integral of sec(x)tan(x)-7e^x is sec(x)-7e^x+C

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integral of sec(x)tan(x)-7e^x

\int sec (x) tan (x) - 7 e^{x} d x

sec (x) - 7 e^{x} + C

Solution steps

\int sec (x) tan (x) - 7 e^{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int sec (x) tan (x) d x - \int 7 e^{x} d x

\int sec (x) tan (x) d x = sec (x)

\int 7 e^{x} d x = 7 e^{x}

= sec (x) - 7 e^{x}

Add a constant to the solution

= sec (x) - 7 e^{x} + C

x \to 6 lim (3)

y^{^{'}} = 2 x y

2 (a)^{3} - 3 (a)^{2} + 2 (a) + 5

(6, - 1), (- 18, 15)

\int \frac{200}{x ( 100 + x ^{4} )} d x

What is the integral of sec(x)tan(x)-7e^x ?
The integral of sec(x)tan(x)-7e^x is sec(x)-7e^x+C