Calculators Topics Go Premium About Snapxam
ENGESP
Topics

Step-by-step Solution

Integrate $\sin\left(4x\right)$ from $0$ to $\frac{\pi }{4}$

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:

$\int_0^{\frac{\pi}{4}}sin\left(4x\right)dx$

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

$\left[-\frac{1}{4}\cos\left(4x\right)\right]_{0}^{\frac{\pi}{4}}$

Unlock this full step-by-step solution!

Learn how to solve definite integrals problems step by step online. Integrate sin(4*x) from 0 to pi/4. Apply the formula: \int\sin\left(ax\right)dx=-\left(\frac{1}{a}\right)\cos\left(ax\right), where a=4. Evaluate the definite integral. Simplifying.

Answer

$\frac{1}{2}$$\,\,\left(\approx 0.5\right)$

Problem Analysis

$\int_0^{\frac{\pi}{4}}sin\left(4x\right)dx$

Main topic:

Definite integrals

Related formulas:

2. See formulas

Time to solve it:

~ 0.59 seconds