Part 3: The derivative of a definite integral and the chain rule Suppose dt. Use the...
Use the Fundamental Theorem of Calculus and the chain rule to
find a derivative
Question
If F(x)=∫4x522ln(t2) dt, what is F′(x)? (Do not include "F′(x)="
in your answer.)
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Use the Fundamental Theorem of Calculus and the chain rule to find a derivative Question If F(x) = 1 2 dt, what is F' (2)? (Do not include "F'(x) ="in your answer.) In (t2) Sorry, that's incorrect. Try again? FEEDBACK VIEW ANSWER SUBMIT
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2 3 dt t 1 2 dt = t 1 (Type an exact answer.)
(1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) =
(1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) =
9. (12 pts) Evaluate the following definite and indefinite integrals: (a) 12 dt d dx 1* 2 t Hint: Apply Part 1 of the Fundamental Theorem of Calculus and the Chain Rule. (b) /6 sin 20 de (sin2 @ + 2)2 -
Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x)=∫4 x sin(t3)dt F′(x) =
Question Details SCalcET8 5.3.504.XP.MI 12. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. cos(V5t) dt G(x) G'(x) = Show My Work (Optional) Question Details SCalcET8 5.2.074 6. Express the limit as a definite integral. n 9 lim 1 1 (i/n) nco n j = 1 1 dx JO Show My Work (Optional)
Question Details SCalcET8 5.3.504.XP.MI 12. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the...
(a) The derivative of a function (b) The definite integral 3. Find the antiderivative: 1 x sin xdx 4. State the fundamental theorem of calcul 5. The position of an object moving on a
(4 points) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (6 sin^(t) + 2) dt g'(x) =
Find the definite integral using Part 2 of the Fundamental Theorem of Calculus. (Use symbolic notation and fractions where needed.) L' avem dy = 0
Using part 1 of the
Fundamental Theorem of Calculus to find the derivative of the
function.
11. (21 points) Using part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (a) f(x) = [ 71 – dt (b) $(a) = Sie a