What is the integral of ex+2cos(x)-3 ?

The integral of ex+2cos(x)-3 is (ex^2)/2+2sin(x)-3x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of ex+2cos(x)-3

\int e x + 2 cos (x) - 3 d x

\frac{e x ^{2}}{2} + 2 sin (x) - 3 x + C

Solution steps

\int e x + 2 cos (x) - 3 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 2 cos (x) d x - \int 3 d x

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

\int 2 cos (x) d x = 2 sin (x)

\int 3 d x = 3 x

= \frac{e x ^{2}}{2} + 2 sin (x) - 3 x

Add a constant to the solution

= \frac{e x ^{2}}{2} + 2 sin (x) - 3 x + C

\int 11.5 cos (0.23 (t - 2.7)) d t

\int \frac{e ^{2 t} - 1}{e ^{t} - 1} d t

\int x^{2} (ln (x^{2})) d x

\int tan (\frac{1}{4}) x d x

\int (\frac{1}{x ^{\frac{3}{2}}} - x^{\frac{4}{5}}) d x

What is the integral of ex+2cos(x)-3 ?
The integral of ex+2cos(x)-3 is (ex^2)/2+2sin(x)-3x+C