Cracking The Ap Calculus ab Exam 2018

The first two always show up on the AP Exam, so you should learn to recognize the pattern. Most of the ...

Now use u-substitution: let u = and du = dx, so 2du = dx, and substitute. When you substitute back, you ...

Using u-substitution, let u = x + 2 and du = dx. Then do the substitution. = tan−1 u + C When you ...

Next, rewrite the integrand. Now you can use u-substitution. Let u = and du = dx, so 2du = dx. Now integrate ...

And use u-substitution. Let u = x − 2 and du = dx. Now, this looks familiar. Once you integrate, you ...

You’ve learned how to integrate polynomials and some of the trig functions (there are more of them to come) ...

cosecant? Well, their time has come. Example 10: Find ∫tan x dx. First, rewrite this integral as Now, ...

Therefore, ∫ cot x dx = ln|sin x| + C. This looks a lot like the previous example, doesn’t it? Exam ...

Example 13: Find ∫ csc x dx. You guessed it! Multiply csc x by dx. This gives you Let u = csc x + ...

As with the natural logarithm, most of these integrals use u-substitution. Example 14: Find ∫e^7 x dx. Let u ...

As you can see, these integrals are pretty straightforward. The key is to use u-substitution to transform nasty- ...

Now you can integrate. PROBLEM 5. Evaluate Answer: Let u = x^3 − 1 and du = 3x^2 dx, and substitute. ∫ No ...

∫^2 u du Integrate according to the rule. Your result should be Now get back to the expression as a function ...

x 4 −x 2 dx 7 sin x cos x dx ...

Unit 3 Drill For answers and explanations, turn to Chapter 19. 1.Evaluate . 2.Evaluate (1 + x^2 )(x − 2) dx. 3.E ...

15.If f(θ) = sin−1(4θ), find f′. ...

Unit 4 Integral Calculus Applications ...

Chapter 16 The Area Between Two Curves ...

These next two units discuss some of the most difficult topics you’ll encounter in AP Calculus. For some ...

That wasn’t so hard, was it? Don’t worry. The process gets more complicated, but the idea remains the same ...