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Find the integral $\int-151xdx$

Step-by-step Solution

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Final Answer

$-\frac{151}{2}x^2+C_0$
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Step-by-step Solution

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The integral of a function times a constant ($-151$) is equal to the constant times the integral of the function

$-151\int xdx$

Learn how to solve differential calculus problems step by step online.

$-151\int xdx$

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Learn how to solve differential calculus problems step by step online. Find the integral int(-151x)dx. The integral of a function times a constant (-151) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final Answer

$-\frac{151}{2}x^2+C_0$

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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

Solve integral of -151xdx using partial fractionsSolve integral of -151xdx using basic integralsSolve integral of -151xdx using u-substitutionSolve integral of -151xdx using integration by partsSolve integral of -151xdx using trigonometric substitution

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Function Plot

Plotting: $-\frac{151}{2}x^2+C_0$

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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: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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