What is the integral from sin(x) to cos(x) of e^x ?

The integral from sin(x) to cos(x) of e^x is e^{cos(x)}-e^{sin(x)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from sin(x) to cos(x) of e^x

\int_{s i n (x)}^{c o s (x)} e^{x} d x

e^{c o s (x)} - e^{s i n (x)}

Solution steps

\int_{s i n (x)}^{c o s (x)} e^{x} d x

Use the common integral:

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

= [e^{x}]_{s i n (x)}^{c o s (x)}

Compute the boundaries:

e^{c o s (x)} - e^{s i n (x)}

= e^{c o s (x)} - e^{s i n (x)}

\int_{0}^{l n (5)} e^{3 x} d x

\int_{0}^{1} (x - x^{3}) d x

\int_{1}^{e^{4}} \frac{ln ( x )}{x} d x

\int_{3}^{4} (x^{2} - 9) d x

\int_{\frac{1}{3}}^{3} (6 - \frac{6}{x ^{2}}) d x

What is the integral from sin(x) to cos(x) of e^x ?
The integral from sin(x) to cos(x) of e^x is e^{cos(x)}-e^{sin(x)}