What is (14/10 t+0.31)^{-2}dt ?

The solution to (14/10 t+0.31)^{-2}dt is (dt)/((1.4t+0.31)^2)

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simplify (14/10 t+0.31)^{-2}dt

simplify

(\frac{14}{10} t + 0.31)^{- 2} d t

\frac{d t}{( 1.4 t + 0.31 ) ^{2}}

Solution steps

(\frac{14}{10} t + 0.31)^{- 2} d t

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( \frac{14}{10} t + 0.31 ) ^{2}} d t

\frac{1}{( \frac{14}{10} t + 0.31 ) ^{2}} = \frac{1}{( 1.4 t + 0.31 ) ^{2}}

= \frac{1}{( 1.4 t + 0.31 ) ^{2}} d t

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot d t}{( 1.4 t + 0.31 ) ^{2}}

Multiply:

1 \cdot d t = d t

= \frac{d t}{( 1.4 t + 0.31 ) ^{2}}

2 e^{- t} cos (\frac{π t}{2})

500000 [1 + (16) (0.0123)]^{- 1}

(e^{6 x})^{\frac{1}{2}}

e^{- 0.2} \cdot (- 51)

What is (14/10 t+0.31)^{-2}dt ?
The solution to (14/10 t+0.31)^{-2}dt is (dt)/((1.4t+0.31)^2)