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Integral Calculus
Describe the area represented by the definite integral ∫ (0,3) 2x^3 dx
Integral Calculus
Find each indefinite integral
a. ∫ e^x(e^(3x)-5) dx
b. ∫ x(sqrt(2x^2+3) dx
c. ∫ (x)/(sqrt(3-x)) dx
a. ∫ e^x(e^(3x)-5) dx
b. ∫ x(sqrt(2x^2+3) dx
c. ∫ (x)/(sqrt(3-x)) dx
Integral Calculus
Integrate with respect to x :
∫10x^2dx
NOTE: ∫10= 1 is superscript while 0 is subscript
a. 4 1/3
b. 1
c. 2
d. 12
∫10x^2dx
NOTE: ∫10= 1 is superscript while 0 is subscript
a. 4 1/3
b. 1
c. 2
d. 12
Integral Calculus
Find the surface area of the band of the sphere generated by revolving the arc of the circle
x2+y2=r2
lying above the interval [-a,a],a,r
x2+y2=r2
lying above the interval [-a,a],a,r
Integral Calculus
Find
∫e^1/3dx
3e^x/3+c
ex+c
3e1/3+c
1/3ex+c
∫e^1/3dx
3e^x/3+c
ex+c
3e1/3+c
1/3ex+c
Integral Calculus
∫xcosax^2dx
with respect to x
cos^3x+c
sin2x+c
sec^2x+1
1/2asinax^2+c
with respect to x
cos^3x+c
sin2x+c
sec^2x+1
1/2asinax^2+c
Integral Calculus
Find the
∫tan^3xsec^3xdx
tan^2x+1
cot^2x+1
sec^2x+1
sec^2x
∫tan^3xsec^3xdx
tan^2x+1
cot^2x+1
sec^2x+1
sec^2x
Integral Calculus
Find the integral with respect to
x:∫(e^xx)(e^x1)dx
(e^x+x)^3/3+c
x^3+e^x/3
3x
e^x+3x
x:∫(e^xx)(e^x1)dx
(e^x+x)^3/3+c
x^3+e^x/3
3x
e^x+3x
Integral Calculus
Integrate with respect to x :
∫2−1x^2/(x^3+4)^2dx
2 superscrit while -1 subscript
12
1/2
6
5/12
∫2−1x^2/(x^3+4)^2dx
2 superscrit while -1 subscript
12
1/2
6
5/12
Integral Calculus
Integrate with respect to x :
∫3−1 x/√7+x^2 dx
note 3 -1 means that 3 superscript, -1subcript
22√
42√
4−22√
2√
∫3−1 x/√7+x^2 dx
note 3 -1 means that 3 superscript, -1subcript
22√
42√
4−22√
2√
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