Calculus Answers

Evaluate the integral ∫▒(〖cos〗^5 (lnx) 〖sin〗^2 (lnx))/x dx

Evaluate the integral ∫▒(〖tan〗^4 x+〖tan〗^6 x)/(〖tan〗^4 x-1) dx

Evaluate the integral ∫_(-1)^1▒1/√(x^2+2x+2) dx

Which of the following is the indefinite integral of x2 + 7?




Select one:
A. x3 + 7x + c
B. 2x + c
C. (1/3)x3 + 7x + c
D. ½ x3 + 7x + c

Which of the following is the indefinite integral of x1/3?
Select one:
A. ¾ x4/3 + c
B. (1/3)x4/3 + c
C. (3/2)x 2/3 + c
D. (4/3)x2 + c

The function is even when:

Select one:
A. f(x) = f(x) for all x
B. f(x) = f(-x) for all x
C. f(x) = -f(x) for all x
D. All of the option mentioned

An integration method that essentially involves using the chain rule in reverse is called…..

if y = sin3x , then y’ is

Select one:
A. (cosxsinx)/3
B. none of the option mentioned
C. 3cosx sin2x
D. 3cos2x

If y = sin(ex), then y’ is

Select one:
A. excos(ex)
B. xcosx
C. cos(ex)
D. xcosx-1

If y = ln7x, then y’ is
Select one:
A. -7/x
B. 1/7x
C. 7/x
D. 1/x