What is the integral from 0 to pi/4 of 3cos(x)+1 ?

The integral from 0 to pi/4 of 3cos(x)+1 is 3/(sqrt(2))+pi/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to pi/4 of 3cos(x)+1

\int_{0}^{\frac{π}{4}} 3 cos (x) + 1 d x

\frac{3}{2} + \frac{π}{4}

Decimal Notation

2.90671 \dots

Solution steps

\int_{0}^{\frac{π}{4}} 3 cos (x) + 1 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_{0}^{\frac{π}{4}} 3 cos (x) d x + \int_{0}^{\frac{π}{4}} 1 d x

\int_{0}^{\frac{π}{4}} 3 cos (x) d x = \frac{3}{2}

\int_{0}^{\frac{π}{4}} 1 d x = \frac{π}{4}

= \frac{3}{2} + \frac{π}{4}

\int_{0}^{π} (x + sin^{3} (x)) d x

\int_{0}^{2} x cos (\frac{nπ}{2} x) d x

\int_{0}^{1} \frac{1}{y + 1} d y

\int_{- 3}^{2} x^{3} d x

\int_{2}^{5} \frac{1}{x - 1} d x

What is the integral from 0 to pi/4 of 3cos(x)+1 ?
The integral from 0 to pi/4 of 3cos(x)+1 is 3/(sqrt(2))+pi/4