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Solve the trigonometric integral $\int\left(\sqrt{1}\sin\left(x\right)-\cos\left(x\right)\right)dx$

Step-by-step Solution

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Final Answer

$-\cos\left(x\right)-\sin\left(x\right)+C_0$
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$\int\left(\sin\left(x\right)-\cos\left(x\right)\right)dx$

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$\int\left(\sin\left(x\right)-\cos\left(x\right)\right)dx$

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Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(sin(x)1^1/2-cos(x))dx. Simplifying. Expand the integral \int\left(\sin\left(x\right)-\cos\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\sin\left(x\right)dx results in: -\cos\left(x\right). The integral \int-\cos\left(x\right)dx results in: -\sin\left(x\right).

Final Answer

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

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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

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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
|◻|
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

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Main Topic: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.

Used Formulas

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