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Exercise

$e^{\left(5t\right)}\left(\left(sin^{\left(2\right)}\right)-\left(cos^2\right)\left(t\right)\right)$

Step-by-step Solution

1

Multiply the single term $e^{5t}$ by each term of the polynomial $\left(\sin\left(t\right)^2-t\cos\left(t\right)^2\right)$

$e^{5t}\sin\left(t\right)^2-te^{5t}\cos\left(t\right)^2$

Final answer to the exercise

$e^{5t}\sin\left(t\right)^2-te^{5t}\cos\left(t\right)^2$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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