What is the integral of-e^x-7/(cos^2(x)) ?

The integral of-e^x-7/(cos^2(x)) is -e^x-7tan(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-e^x-7/(cos^2(x))

\int - e^{x} - \frac{7}{cos ^{2} ( x )} d x

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

Solution steps

\int - e^{x} - \frac{7}{cos ^{2} ( 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 e^{x} d x - \int \frac{7}{cos ^{2} ( x )} d x

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

\int \frac{7}{cos ^{2} ( x )} d x = 7 tan (x)

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

Add a constant to the solution

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

\frac{d}{d x} (sin (x^{2} cos (x)))

\frac{d}{d x} (cot^{2} (3 - 2 x))

\int \frac{3}{2} e^{\frac{3}{2} x} d x

f (x) = 9 - x^{2}

e^{3} ln (e^{3})

What is the integral of-e^x-7/(cos^2(x)) ?
The integral of-e^x-7/(cos^2(x)) is -e^x-7tan(x)+C