Question

Integrate the following functions with respect to t: $\int (4\cos t+t^2)dt$

• A. $4\sin t+\frac{t^3}{3}+C$
• B. $2\sin t+\frac{t^3}{3}+C$
  
• C. $4\sin t+\frac{t^6}{3}+C$
• D. $4\cos t+\frac{t^3}{3}+C$

Answer 1

The correct option is A $4\sin t+\frac{t^3}{3}+C$

Let $I=\int (4\cos t+t^2)dt$

$=4\sin t+\frac{t^3}{3}+C$