Integrate the function $\frac{2}{t^2}$ from $1$ to $3$

Step-by-step Solution

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Final answer to the problem

$2\cdot \left(\frac{1}{- 3}- \frac{1}{- 1}\right)$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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1

Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

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$\int_{1}^{3}2t^{-2}dt$

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Learn how to solve problems step by step online. Integrate the function 2/(t^2) from 1 to 3. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -2. Simplify the expression.

Final answer to the problem

$2\cdot \left(\frac{1}{- 3}- \frac{1}{- 1}\right)$

Exact Numeric Answer

$1.333333$

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Function Plot

Plotting: $\frac{2}{t^2}$

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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
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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