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  1. Calculus Help: If f(x) is continuous and ∫f(x)dx=4 Find ∫ xf(x^2 ) dx - Integration techniques

    Calculus Help: If f(x) is continuous and ∫f(x)dx=4 Find ∫ xf(x^2 ) dx - Integration techniques

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  2. Suppose that f(1)=2,f(4)=7,f′(1)=5,f′(4)=3 and f′′ is continuous. Find the value of ∫xf′′(x)dx

    Suppose that f(1)=2,f(4)=7,f′(1)=5,f′(4)=3 and f′′ is continuous. Find the value of ∫xf′′(x)dx

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  3. Toán 12: Biết F(x)là một nguyên hàm của hàm số f(x) và F(2021)=∫ F(x+1)dx=1 I=∫_0^2021 xf(x)dx

    Toán 12: Biết F(x)là một nguyên hàm của hàm số f(x) và F(2021)=∫ F(x+1)dx=1 I=∫_0^2021 xf(x)dx

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  4. F(x) là một nguyên hàm của f(x)=e^2x.Khẳng định tính đúng sai cho từng mệnh đề:

    F(x) là một nguyên hàm của f(x)=e^2x.Khẳng định tính đúng sai cho từng mệnh đề:

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  5. Toán 12: Cho hàm số f(x) liên tục trên R,thỏa mãn f(x)=x+∫_0^1 xf(x)dx. Tìm f(2)

    Toán 12: Cho hàm số f(x) liên tục trên R,thỏa mãn f(x)=x+∫_0^1 xf(x)dx. Tìm f(2)

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  6. Calculus Help: Integration x^3 ( 2+x^4)^5 dx , (x+1) √(2x+x^2) dx, 1/(1-6x)^4 dx

    Calculus Help: Integration x^3 ( 2+x^4)^5 dx , (x+1) √(2x+x^2) dx, 1/(1-6x)^4 dx

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  7. Integration by Substitution: ∫ (7x+4)^5 dx, ∫ e^x/(2e^x+3)^7 dx, ∫ (x^2+2x)/(x^3+3x^2-4) dx

    Integration by Substitution: ∫ (7x+4)^5 dx, ∫ e^x/(2e^x+3)^7 dx, ∫ (x^2+2x)/(x^3+3x^2-4) dx

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  8. Toán 12: Vi phân Bernoulli và tuyến tính bậc 1: Cho hàm số y=f(x) có đạo hàm liên tục trên R

    Toán 12: Vi phân Bernoulli và tuyến tính bậc 1: Cho hàm số y=f(x) có đạo hàm liên tục trên R

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  9. Cho hàm số f(x) liên tục trên R và thỏa mãn f(x)=f(5-x),∀x∈R Biết rằng ∫f(x)dx=2.Tính I=∫ xf(x) dx

    Cho hàm số f(x) liên tục trên R và thỏa mãn f(x)=f(5-x),∀x∈R Biết rằng ∫f(x)dx=2.Tính I=∫ xf(x) dx

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  10. Calculus Help: Integral of ∫ x^2/√(16-x^2 ) dx - Integration by trigonometric substitution - SOLVED!

    Calculus Help: Integral of ∫ x^2/√(16-x^2 ) dx - Integration by trigonometric substitution - SOLVED!

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  11. Calculus Help: Integral ∫ 1/(3+2tanx) dx - Find the coefficient - Integration by substitution

    Calculus Help: Integral ∫ 1/(3+2tanx) dx - Find the coefficient - Integration by substitution

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  12. Calculus Help: Find the value of integral of x^2 lnx dx - Integration by parts

    Calculus Help: Find the value of integral of x^2 lnx dx - Integration by parts

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  13. Calculus Help: Find an explicit solution of the given initial-value problem dy/dx=ye^(-x^2 ),y(4)=1

    Calculus Help: Find an explicit solution of the given initial-value problem dy/dx=ye^(-x^2 ),y(4)=1

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  14. Calculus Help: Integral ∫ x^2 cos2x dx - Integration by parts - Techniques - Solutions

    Calculus Help: Integral ∫ x^2 cos2x dx - Integration by parts - Techniques - Solutions

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  15. Calculus Help: Differential Equation: x dy/dx+2y=x^3

    Calculus Help: Differential Equation: x dy/dx+2y=x^3

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  16. Calculus Help: ∫_0^1 arcsinx dx Integration by parts and substitution

    Calculus Help: ∫_0^1 arcsinx dx Integration by parts and substitution

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  17. Calculus Help: Find the solution of differential equation dy/dx+2y=f(x),y(0)=0, f(x)={ (1,0≤x≤3@0,

    Calculus Help: Find the solution of differential equation dy/dx+2y=f(x),y(0)=0, f(x)={ (1,0≤x≤3@0,

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  18. Calculus Help: Integral ∫ sin^5⁡ x cos^4⁡ x dx - Integration by substitution - Techniques

    Calculus Help: Integral ∫ sin^5⁡ x cos^4⁡ x dx - Integration by substitution - Techniques

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  19. Calculus Help: Integral of sin^4 ⁡3x cos^2⁡ 3x dx - Integration by trigonometric identitity

    Calculus Help: Integral of sin^4 ⁡3x cos^2⁡ 3x dx - Integration by trigonometric identitity

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  20. Calculus Help: Integral of e^2x sin3x dx - Integration by parts

    Calculus Help: Integral of e^2x sin3x dx - Integration by parts

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  21. Calculus Help: Differential Equation - Transform into Homogeneous - dy/dx=(x+y+4)/(x-y-6)

    Calculus Help: Differential Equation - Transform into Homogeneous - dy/dx=(x+y+4)/(x-y-6)

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  22. Calculus Help: Homogeneous - Differential Equations - xy dx-(x^2+3y^2 ) dy=0 - Techniques

    Calculus Help: Homogeneous - Differential Equations - xy dx-(x^2+3y^2 ) dy=0 - Techniques

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  23. Calculus Help: Integral ∫ (x^2+2x-1)/(2x^3+3x^2-2x) dx - Integration by partial fractions Technique

    Calculus Help: Integral ∫ (x^2+2x-1)/(2x^3+3x^2-2x) dx - Integration by partial fractions Technique

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  24. Calculus Help: Differential Equations - (x+1) dy/dx+y=lnx,y(1)=10 - Techniques - Integrating Factor

    Calculus Help: Differential Equations - (x+1) dy/dx+y=lnx,y(1)=10 - Techniques - Integrating Factor

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