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# Solve the trigonometric integral $\int\left(7\cos\left(x\right)-\sin\left(x\right)\right)dx$

## Step-by-step Solution

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###  Solution

$7\sin\left(x\right)+\cos\left(x\right)+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\left(7\cos\left(x\right)-\sin\left(x\right)\right)dx$

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1

The integral $\int7\cos\left(x\right)dx$ results in: $7\sin\left(x\right)$

$7\sin\left(x\right)$

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$7\sin\left(x\right)$

Learn how to solve problems step by step online. Solve the trigonometric integral int(7cos(x)-sin(x))dx. The integral \int7\cos\left(x\right)dx results in: 7\sin\left(x\right). The integral \int-\sin\left(x\right)dx results in: \cos\left(x\right). Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

$7\sin\left(x\right)+\cos\left(x\right)+C_0$

##  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

Solve int(7cos(x)-sin(x))dx using basic integralsSolve int(7cos(x)-sin(x))dx using u-substitutionSolve int(7cos(x)-sin(x))dx using integration by partsSolve int(7cos(x)-sin(x))dx using weierstrass substitution

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7
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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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