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# Integrate $\int\left(1-t^{- \frac{13}{25}}\right)dt$

## Step-by-step Solution

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Solving: $\int\left(1-t^{- \frac{13}{25}}\right)dt$

###  Videos

$t-\frac{25}{12}\sqrt{t^{12}}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\left(1-t^{- \frac{13}{25}}\right)dt$

Specify the solving method

1

Expand the integral $\int\left(1-t^{-\frac{13}{25}}\right)dt$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int1dt+\int-t^{-\frac{13}{25}}dt$

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

$\int1dt+\int-t^{-\frac{13}{25}}dt$

Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(1-t^(-13/25))dt. Expand the integral \int\left(1-t^{-\frac{13}{25}}\right)dt into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dt results in: t. The integral \int-t^{-\frac{13}{25}}dt results in: -\frac{25}{12}\sqrt{t^{12}}. Gather the results of all integrals.

$t-\frac{25}{12}\sqrt{t^{12}}+C_0$

##  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(1-t^(-13/25))dt using partial fractionsSolve int(1-t^(-13/25))dt using basic integralsSolve int(1-t^(-13/25))dt using u-substitutionSolve int(1-t^(-13/25))dt using integration by partsSolve int(1-t^(-13/25))dt using trigonometric substitution

SnapXam A2

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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

### Main topic:

Integrals of Polynomial Functions

~ 0.05 s

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