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

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

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integral from 0 to pi/3 of 2cos(x)+3

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

3 + π

Decimal Notation

4.87364 \dots

Solution steps

\int_{0}^{\frac{π}{3}} 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_{0}^{\frac{π}{3}} 2 cos (x) d x + \int_{0}^{\frac{π}{3}} 3 d x

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

\int_{0}^{\frac{π}{3}} 3 d x = π

= 3 + π

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

\int_{0}^{1} (x^{2} + 3 x - 1) e^{x} d x

\int_{1}^{2} x^{2} e^{- x} d x

\int_{\frac{- π}{4}}^{\frac{π}{4}} tan (x) d x

\int_{2.5}^{3} (- x^{2} + 4) d x

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