9:54 Q0 GOBY Call 67% d. tan(x)dx HINT: tan() = sin() / cos() 4. [8 pts] Use the Fundamental Theorem of Calculus. a. Evaluate the definite Integral J (3x + et ) dx . Round your answer to 1 decimal place. b. Evaluate the definite integral [ 10x(x-1)' dx. HINT: A change of variable makes it easier. C. Differentiate the accumulation function F(x) = [, In(t)di . HINT: Use the chain rule. > > 5. [6 pts] An object moves such that its accelerat/ O ferby the function a(t) = sin 2t | meters per second per second. The object's initial velocity is 0 meters per second. The time variable is measured in seconds. a. Use integration to find the velocity of the object as a function of time. HINT: This is an initial value problem. O A