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Integrate $\int\left(-121x+5\right)dx$

Step-by-step Solution

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Solution

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Final Answer

$-\frac{121}{2}x^2+5x+C_0$
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Step-by-step Solution

Problem to solve:

$\int\left(-121x+5\right)dx$

Specify the solving method

1

Expand the integral $\int\left(-121x+5\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int-121xdx+\int5dx$

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

$\int-121xdx+\int5dx$

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Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(-121x+5)dx. Expand the integral \int\left(-121x+5\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-121xdx results in: -\frac{121}{2}x^2. The integral \int5dx results in: 5x. Gather the results of all integrals.

Final Answer

$-\frac{121}{2}x^2+5x+C_0$

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(-121x+5)dx using partial fractionsSolve int(-121x+5)dx using basic integralsSolve int(-121x+5)dx using u-substitutionSolve int(-121x+5)dx using integration by partsSolve int(-121x+5)dx using trigonometric substitution

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5
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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:

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Main topic:

Integrals of Polynomial Functions

Used formulas:

4. See formulas

Time to solve it:

~ 0.04 s

Related topics:

Integrals of Polynomial FunctionsCalculusIndefinite IntegralsIntegralIntegral Calculus

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