👉 Try now NerdPal! Our new math app on iOS and Android
Calculators Topics Solving Methods Step Checker
Book solutions
Algebra Baldor
Go Premium Topics

Integrar la función $\sin\left(x\right)^4-\cos\left(x\right)^4$

Step-by-step Solution

Go!
Math mode
Text mode
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
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Solution

Videos

Final answer to the problem

$-\cos\left(2x\right)+C_0$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$\sin\left(x\right)^4-\cos\left(x\right)^4+C_0$

Learn how to solve integrals of exponential functions problems step by step online.

$\sin\left(x\right)^4-\cos\left(x\right)^4+C_0$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve integrals of exponential functions problems step by step online. Integrar la función sin(x)^4-cos(x)^4. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C. Apply the trigonometric identity: \sin\left(\theta \right)^4-\cos\left(\theta \right)^4=1-2\cos\left(\theta \right)^2. Aplicando la identidad trigonométrica: 1-2\cos\left(\theta \right)^2 = -\cos\left(2\theta \right).

Final answer to the problem

$-\cos\left(2x\right)+C_0$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Resolver sinx^4+-1cosx^4 usando integrales básicasResolver sinx^4+-1cosx^4 por cambio de variableResolver sinx^4+-1cosx^4 usando integración por partesIntegrar usando identidades trigonométricas

Give us your feedback!

Function Plot

Plotting: $-\cos\left(2x\right)+C_0$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Similar Problems Solved

Compute the integral

$\int e^x\cos\left(x\right)dx$

Compute the integral

$\int xe^{2x}dx$

Compute the integral

$\int xe^{3x}dx$

Compute the integral

$\int3\cdot e^x\cdot xdx$

Compute the integral

$\int7\cdot e^{8x}\cdot xdx$

Compute the integral

$\int y^2 e^{2y}dy$

Compute the integral

$\int\sin\left(x\right)e^xdx$

Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

Related Topics

Supercharge your math learning

By signing up, you agree to SnapXam's Terms and Privacy Policy.

Already have an account? Login here
Forgot your password?

Supercharge your math learning



Register here if you don't have an account.
Forgot your password?

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account