What is cos^2(t)(2+tan(t))^{-1/6}dt ?

The solution to cos^2(t)(2+tan(t))^{-1/6}dt is (cos^2(t)dt)/((tan(t)+2)^{1/6)}

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simplify cos^2(t)(2+tan(t))^{-1/6}dt

simplify

cos^{2} (t) (2 + tan (t))^{- \frac{1}{6}} d t

\frac{cos ^{2} ( t ) d t}{( tan ( t ) + 2 ) ^{\frac{1}{6}}}

Solution steps

cos^{2} (t) (2 + tan (t))^{- \frac{1}{6}} d t

Apply exponent rule:

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

= \frac{1}{( tan ( t ) + 2 ) ^{\frac{1}{6}}} cos^{2} (t) d t

Multiply fractions:

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

= \frac{1 \cdot cos ^{2} ( t ) d t}{( 2 + tan ( t ) ) ^{\frac{1}{6}}}

Multiply:

1 \cdot cos^{2} (t) = cos^{2} (t)

= \frac{cos ^{2} ( t ) d t}{( 2 + tan ( t ) ) ^{\frac{1}{6}}}

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

e^{- 0.97 \cdot 5}

\frac{5}{x} \cdot \frac{7}{y}

(2 x - 3) (2 x - 3)

(18)^{5}

What is cos^2(t)(2+tan(t))^{-1/6}dt ?
The solution to cos^2(t)(2+tan(t))^{-1/6}dt is (cos^2(t)dt)/((tan(t)+2)^{1/6)}