Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/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

\int\left(\left(-1\right)\cdot\cos\left(3x\right)+7\sin\left(4x\right)\right)dx

Integral of -1cos(3x)+7sin(4x)

Answer

$-\frac{7}{4}\cos\left(4x\right)-\frac{1}{3}\sin\left(3x\right)+C_0$

Step-by-step explanation

Problem

$\int\left(\left(-1\right)\cdot\cos\left(3x\right)+7\sin\left(4x\right)\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int7\sin\left(4x\right)dx+\int-\cos\left(3x\right)dx$

Unlock this step-by-step solution!

Answer

$-\frac{7}{4}\cos\left(4x\right)-\frac{1}{3}\sin\left(3x\right)+C_0$
$\int\left(\left(-1\right)\cdot\cos\left(3x\right)+7\sin\left(4x\right)\right)dx$

Main topic:

Integration by substitution

Used formulas:

6. See formulas

Time to solve it:

~ 0.3 seconds