Find the area under each portion.
a) f(x)=sqrt(14-2x) on [3,7]
b) g(x)= -3x+(3/4) on [-3/4, -1/2]
c) h(x)= (9/10)(x+3/2)^2 + (4/5) on [-3,-1]
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7. Evaluate using integration by parts.
Integral 5sqrt(x) ln sqrt(x) dx
a. 10/3 x^3/2 ln sqrt(x) - 5/3x^3/2 + C
b. 5x^3/2 ln sqrt(x) - 5x^3/2 + C
c. 10/3 x^3/2 ln sqrt(x) + 10/9x^3/2 + C
d. 10/3 x^3/2 ln sqrt(x) - 10/9x^3/2 + C
8. Evaluate using integration by parts.
Integral 5x/sqrt(2x+3) dx
a. 5x(2x+3)^1/2 + 5/3(2x+3)^3/2 + C
b. x(2x+3)^1/2 + 1/3(2x+3)^3/2 + C
c. 5x(2x+3)^1/2 - 5/3(2x+3)^3/2 + C
d. 5x(2x+3)^1/2 - (2x+3)^3/2 + C
1. Let h(t) = tan(2t + 5).
Then h'(4)=?
h''(4) =?
2. If f(x) = sqrt( 4x + 7 )
find f'(x)
find f'(3)
3. f(x) = (-3x^2 + 3)^5 (-9x^2-4)^11
f'(x)=
4. If f'(x) = sin(sin(x)) find f'(x)
find f'(2)
5. Let f(x) = tan4x
f'(2)=