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Integration by parts 2
Clash Royale CLAN TAG#URR8PPP
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Say $F(x)$ is the antiderivative of $f(x)$. $int_0^2 F(x)dx = 3$, $int_0^2 f(x)dx = 4$, $f(2) = 9$, $f(0) = 5$ and $F(2)=14$, and $F(0)=10$. Then $int_0^2 f(x) x dx$ equals?
With integration by parts, I get $x*f(x) - int_0^2 f(x)dx= [x*f(x) - 4]_0^2$ which equals $(2*f(2) - 4)-(0*f(0)-4) = 2(9) - 4 + 4 = 18$
integration definite-integrals
asked Jul 26 at 1:20
Vera
11
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Say $F(x)$ is the antiderivative of $f(x)$. $int_0^2 F(x)dx = 3$, $int_0^2 f(x)dx = 4$, $f(2) = 9$, $f(0) = 5$ and $F(2)=14$, and $F(0)=10$. Then $int_0^2 f(x) x dx$ equals?
With integration by parts, I get $x*f(x) - int_0^2 f(x)dx= [x*f(x) - 4]_0^2$ which equals $(2*f(2) - 4)-(0*f(0)-4) = 2(9) - 4 + 4 = 18$
integration definite-integrals
asked Jul 26 at 1:20
Vera
11
Integrate by part.
– xbh
Jul 26 at 1:33
Have you learned integration by parts yet?
– sharding4
Jul 26 at 1:33
I haven't, this is an advanced problem for this homework set. I think integration by parts is taught next week. I will read ahead now to attempt to answer it. Thank you for the tip!
– Vera
Jul 26 at 1:37
Gave it a shot, did I do it correctly?
– Vera
Jul 26 at 2:30
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Say $F(x)$ is the antiderivative of $f(x)$. $int_0^2 F(x)dx = 3$, $int_0^2 f(x)dx = 4$, $f(2) = 9$, $f(0) = 5$ and $F(2)=14$, and $F(0)=10$. Then $int_0^2 f(x) x dx$ equals?
With integration by parts, I get $x*f(x) - int_0^2 f(x)dx= [x*f(x) - 4]_0^2$ which equals $(2*f(2) - 4)-(0*f(0)-4) = 2(9) - 4 + 4 = 18$
integration definite-integrals
asked Jul 26 at 1:20
Vera
11
Say $F(x)$ is the antiderivative of $f(x)$. $int_0^2 F(x)dx = 3$, $int_0^2 f(x)dx = 4$, $f(2) = 9$, $f(0) = 5$ and $F(2)=14$, and $F(0)=10$. Then $int_0^2 f(x) x dx$ equals?
With integration by parts, I get $x*f(x) - int_0^2 f(x)dx= [x*f(x) - 4]_0^2$ which equals $(2*f(2) - 4)-(0*f(0)-4) = 2(9) - 4 + 4 = 18$
integration definite-integrals
asked Jul 26 at 1:20
Vera
11
edited Jul 26 at 3:02
asked Jul 26 at 1:20
Vera
11
asked Jul 26 at 1:20
Vera
11
asked Jul 26 at 1:20
Vera
11
11
Integrate by part.
– xbh
Jul 26 at 1:33
Have you learned integration by parts yet?
– sharding4
Jul 26 at 1:33
I haven't, this is an advanced problem for this homework set. I think integration by parts is taught next week. I will read ahead now to attempt to answer it. Thank you for the tip!
– Vera
Jul 26 at 1:37
Gave it a shot, did I do it correctly?
– Vera
Jul 26 at 2:30
add a comment |Â
Integrate by part.
– xbh
Jul 26 at 1:33
Have you learned integration by parts yet?
– sharding4
Jul 26 at 1:33
I haven't, this is an advanced problem for this homework set. I think integration by parts is taught next week. I will read ahead now to attempt to answer it. Thank you for the tip!
– Vera
Jul 26 at 1:37
Gave it a shot, did I do it correctly?
– Vera
Jul 26 at 2:30
Integrate by part.
– xbh
Jul 26 at 1:33
Integrate by part.
– xbh
Jul 26 at 1:33
Have you learned integration by parts yet?
– sharding4
Jul 26 at 1:33
Have you learned integration by parts yet?
– sharding4
Jul 26 at 1:33
I haven't, this is an advanced problem for this homework set. I think integration by parts is taught next week. I will read ahead now to attempt to answer it. Thank you for the tip!
– Vera
Jul 26 at 1:37
I haven't, this is an advanced problem for this homework set. I think integration by parts is taught next week. I will read ahead now to attempt to answer it. Thank you for the tip!
– Vera
Jul 26 at 1:37
Gave it a shot, did I do it correctly?
– Vera
Jul 26 at 2:30
Gave it a shot, did I do it correctly?
– Vera
Jul 26 at 2:30
add a comment |Â
1 Answer
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0
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Hint: No. Try integration by parts.
answered Jul 26 at 1:36
MPW
28.4k11853
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Hint: No. Try integration by parts.
answered Jul 26 at 1:36
MPW
28.4k11853
add a comment |Â
up vote
0
down vote
Hint: No. Try integration by parts.
answered Jul 26 at 1:36
MPW
28.4k11853
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Hint: No. Try integration by parts.
answered Jul 26 at 1:36
MPW
28.4k11853
Hint: No. Try integration by parts.
answered Jul 26 at 1:36
MPW
28.4k11853
answered Jul 26 at 1:36
MPW
28.4k11853
answered Jul 26 at 1:36
MPW
28.4k11853
answered Jul 26 at 1:36
MPW
28.4k11853
28.4k11853
add a comment |Â
add a comment |Â
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Integrate by part.
– xbh
Jul 26 at 1:33
Have you learned integration by parts yet?
– sharding4
Jul 26 at 1:33
I haven't, this is an advanced problem for this homework set. I think integration by parts is taught next week. I will read ahead now to attempt to answer it. Thank you for the tip!
– Vera
Jul 26 at 1:37
Gave it a shot, did I do it correctly?
– Vera
Jul 26 at 2:30