Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

4sin(x)dx4\sin(x)\,dx

Full solution

Q. 4sin(x)dx4\sin(x)\,dx
  1. Integrate function 4sin(x)4\sin(x): Integrate the function 4sin(x)4\sin(x) with respect to xx.
    Calculation: 4sin(x)dx=4sin(x)dx\int 4\sin(x)\,dx = 4\int \sin(x)\,dx
  2. Find integral of sin(x): Find the integral of sin(x)\sin(x).\newlineCalculation: sin(x)dx=cos(x)+C\int \sin(x) \, dx = -\cos(x) + C (where CC is the constant of integration)
  3. Multiply result by 44: Multiply the result by 44.
    Calculation: 4(cos(x)+C)=4cos(x)+4C4(-\cos(x) + C) = -4\cos(x) + 4C