Substitution integral problem
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If in the integral, $int (f'(x))^{-2}dx $ we make the substitution $f(x)=t$, what is the new integral?
Solution of this problem (test) says is $int t^2dt$, although I think then the integral should be $int f'(x)(f(x))^{-2}dx $. Any suggestion?
calculus integration derivatives substitution
asked Nov 19 at 3:19
John
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up vote
0
down vote
favorite
If in the integral, $int (f'(x))^{-2}dx $ we make the substitution $f(x)=t$, what is the new integral?
Solution of this problem (test) says is $int t^2dt$, although I think then the integral should be $int f'(x)(f(x))^{-2}dx $. Any suggestion?
calculus integration derivatives substitution
asked Nov 19 at 3:19
John
11
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
If in the integral, $int (f'(x))^{-2}dx $ we make the substitution $f(x)=t$, what is the new integral?
Solution of this problem (test) says is $int t^2dt$, although I think then the integral should be $int f'(x)(f(x))^{-2}dx $. Any suggestion?
calculus integration derivatives substitution
asked Nov 19 at 3:19
John
11
If in the integral, $int (f'(x))^{-2}dx $ we make the substitution $f(x)=t$, what is the new integral?
Solution of this problem (test) says is $int t^2dt$, although I think then the integral should be $int f'(x)(f(x))^{-2}dx $. Any suggestion?
calculus integration derivatives substitution
calculus integration derivatives substitution
asked Nov 19 at 3:19
John
11
asked Nov 19 at 3:19
John
11
asked Nov 19 at 3:19
John
11
asked Nov 19 at 3:19
John
11
asked Nov 19 at 3:19
John
11
11
add a comment |
add a comment |
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