Let f:[0,2]→R a function which is continuous on [0,2] and is differentiable on (0,2) with f(0)=
x²
Let F(x)=∫f(√t)dt, for x∈[0,2], if F′(x)=f′(x),∀x∈(0,2), then F(2) equals to
0

A. e4−1
B. e2−1
C. e−1
D. e4

Question

pandabear1998 pandabear1998

20-06-2024
Mathematics

Answered

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Let f:[0,2]→R a function which is continuous on [0,2] and is differentiable on (0,2) with f(0)=
x²
Let F(x)=∫f(√t)dt, for x∈[0,2], if F′(x)=f′(x),∀x∈(0,2), then F(2) equals to
0

A. e4−1
B. e2−1
C. e−1
D. e4

Sagot :

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Let f:[0,2]→R a function which is continuous on [0,2] and is differentiable on (0,2) with f(0)= x²Let F(x)=∫f(√t)dt, for x∈[0,2], if F′(x)=f′(x),∀x∈(0,2), then F(2) equals to 0A. e4−1B. e2−1C. e−1D. e4

Sagot :

Other Questions

Let f:[0,2]→R a function which is continuous on [0,2] and is differentiable on (0,2) with f(0)=
x²
Let F(x)=∫f(√t)dt, for x∈[0,2], if F′(x)=f′(x),∀x∈(0,2), then F(2) equals to
0

A. e4−1
B. e2−1
C. e−1
D. e4