# Step-by-step Solution

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Step-by-step explanation

Problem to solve:

$\int_0^{\pi}\left(8+5\sin\left(x\right)\right)dx$

Learn how to solve definite integrals problems step by step online.

$\int_{0}^{\pi }8dx+\int_{0}^{\pi }5\sin\left(x\right)dx$

Learn how to solve definite integrals problems step by step online. Integrate 8+5sin(x) from 0 to pi. The integral of a sum of two or more functions is equal to the sum of their integrals. The integral \int_{0}^{\pi }8dx results in: 25.1327. The integral \int_{0}^{\pi }5\sin\left(x\right)dx results in: 10. After gathering the results of all integrals, the final answer is.

$35.1327$

### Problem Analysis

$\int_0^{\pi}\left(8+5\sin\left(x\right)\right)dx$

### Main topic:

Definite integrals

~ 0.6 seconds