Question

Evaluate the integral ∫x^2cos(3x)dx..

Select one:

a. 1/3x^2sin(3x)+2/27sin(3x)−2/9xcos(3x)+C
1/3x^2sin(3x)+2/27sin(3x)−2/9xcos(3x)+C

b. 1/3x^2sin(3x)−2/27sin(3x)+2/9xcos(3x)+C
13x^2sin(3x)−2/27sin(3x)+2/9xcos(3x)+C

c. x/2sin(x)−2/9sin(x)+2/3xcos(x)+C
x^2sin(x)−2/9sin(x)+2/3xcos(x)+C

d. x^2sin(x)+2/9sin(x)−2/3xcos(x)+C

Answer #1

1. Evaluate the definite integral given
below.
∫(from 0 to π/3) (2sin(x)+3cos(x)) dx
2. Given F(x) below, find F′(x).
F(x)=∫(from 2 to ln(x)) (t^2+9)dt
3. Evaluate the definite integral given
below.
∫(from 0 to 2) (−5x^3/4 + 2x^1/4)dx

Evaluate the following integral:
∫3x (divided
by)[(x(square)2+10x+30)]dx

Evaluate the integral: ∫8x^2 / √9−x^2 dx
(A) Which trig substitution is correct for this integral?
x=9sec(θ)
x=3tan(θ)
x=9tan(θ)
x=3sin(θ)
x=3sec(θ)
x=9sin(θ)
(B) Which integral do you obtain after substituting for x and
simplifying?
Note: to enter θθ, type the word theta.
(C) What is the value of the above integral in terms of θ?
(D) What is the value of the original integral in terms of x?

integral of (8x+9sin(x))^2 dx

Evaluate the following indefinite integral: ∫x^2/√(16+x^2
)dx
Evaluate the following indefinite integral: ∫xe^2x dx

evaluate the indefinite integral (1+2x)/(1+x^2) dx

1. the integral of 0 to 1 of (x) / (2x+1)^3 dx
2. the integral of 2 to 4 of (x+2) / (x^2+3x-4) dx

evaluate the integral ∫(x+2)/(x²+4) dx

Evaluate the integral from -1 to 2 for (6x + 10 |x| ) dx

Evaluate the following integral. ∫ (x3 − 3x2)( 1 x −
3) dx
(A) − 3 4 x4 + 14 3 x3 − 3 2 x2 + C
(B) − 3 4 x4 + 4 x3 − 3x2 + C
(C) − 3 4 x4 + 10 3 x3 − 3x2 + C
(D) − 3 4 x4 + 10 3 x3 − 3 2 x2 + C
(E) ( 1 4 x4 − x3)( 1 x − 3) + ...

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