Choose the best answer for each question, then mark the corresponding letter in the blank 3^(') times 5=15^(') (1) Suppose that int_0^1 f(x)dx=4 and int_1^2 f(x)dx=-2, then int_0^2 f(x)dx= (A) 2 (B) 6 (C) -2 (D) -6 (2) If f(x)=sin^(-1)lnx, then the derivative of f(x) is (A) (cos^(-1)lnx)/(x) (B) (1)/(x sqrt(1+ln^(2)x)) (C) (1)/(x sqrt(1-

Question

Choose the best answer for each question, then mark the corresponding letter in the blank

3^(')\times 5=15^(')

(1) Suppose that

\int_0^1 f(x)dx=4

and

\int_1^2 f(x)dx=-2

, then

\int_0^2 f(x)dx=

◻

(A) 2 (B) 6 (C) -2 (D) -6 (2) If

f(x)=sin^(-1)lnx

, then the derivative of

f(x)

is

◻

(A)

(cos^(-1)lnx)/(x)

(B)

(1)/(x\sqrt(1+ln^(2)x))

(C)

(1)/(x\sqrt(1-ln^(2)x))

(D)

(1)/(x(1+ln^(2)x))

(3) Which one is the antiderivative of

sec^(2)x

in the following option

◻

(A)

tanx

(B)

secxtanx

(C)

tan^(2)x

(D)

cosx

(4) Suppose the solid is obtained by rotating the region bounded by the curves

y=x

and

y=x^(2)

about the

y

-axis, then the volume of this solid is

◻

(A)

\pi \int_0^1 (x^(2)-x^(4))dx

(B)

\pi \int_0^1 (x^(4)-x^(2))dx

(C)

\pi \int_0^1 (y^(2)-y)dy

(D)

\pi \int_0^1 (y-y^(2))dy

(5) When evaluate the integral

\int x^(2)\sqrt(x-1)dx

, the substitution is

◻

(A)

x=sin\theta

(B)

x=sec\theta

(C)

x=tan\theta

(D)

u=\sqrt(x-1)

Accepted Answer

Expert Answer to - Choose the best answer for each question, then mark the corresponding letter in the blank 3^(') time

Answer

Solution for - Choose the best answer for each question, then mark the corresponding letter in the blank 3^(') time

Answer

This an additional answer to - Choose the best answer for each question, then mark the corresponding letter in the blank 3^(') time

(Solved): Choose the best answer for each question, then mark the corresponding letter in the blank 3^(')\time ...

View Expert Answer

Expert Answer

Buy This Answer $5

Place Order