Exam (elaborations)
Test 1 Review (Calc II)Questions and and answers
Test 1 Review (Calc II)Questions and and answers
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Test 1 Review (Calc II)✅✅-Half angle identities
(Trig substitution)
If all values are even, what do we use? -
√(a²-x²) - ✅✅-x=asinθ
√(a²+x²) - ✅✅-x=atanθ
√(x²-a²) - ✅✅-x=asecθ
∫√u - ✅✅-(2/3)u^3/2
∫sec(x)dx= - ✅✅-ln(|sec(x)+tan(x)|)+C
Anti-derivative of (3/4)sin(4x)? - ✅✅--(3/16)cos(4x)
Anti-derivative of e^3x - ✅✅-(1/3)e^3x
antiderivative of 1/1+x² - ✅✅-tan⁻¹(x)
antiderivative of tan(x) - ✅✅-ln(|sec(x)|)
average value of a function on an interval [a,b] - ✅✅-(1/b-a) ∫f(x)dx
Derivative of 2/x - ✅✅--2/x²
Derivative of arctan(x) - ✅✅-1/1+x²
Derivative of e^3x - ✅✅-3e^3x
Derivative of ln(6x+1) - ✅✅-6/6x+1
Derivative of ln(9x+1) - ✅✅-9/9x+1
Derivative of sec(x) - ✅✅-sec(x)tan(x)
Derivative of sec²(x) - ✅✅-tan(x)
derivative of tan²(x) - ✅✅-2sec²(x)tan(x)
✅✅
Double-Angle Identity
cos(2x)= - -cos²(x)-sin²(x)
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