A definite integral property says So f' (x) dæ + Sỉ f' (x) dæ =f, ƒ' (æ) dx. What is fo f' (x) dx? 1.5 0.5 • 2

Q: 7. If f is negative on [-3, 2], is the definite integral f(x) dx positive or negative? What about…

A: It is given that function f is negative on -3,2

Q: Find the indefinite integral. (Use C for the constant of integration.) sin" sa v cos 5e do cos 50 de

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Q: Use the Trapezoidal Rule and Simpson’s Rule to approximate the value of the definite integral for…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sec?(e) tan°(e) de…

A: Consider the integral  ∫sec2θ tan9θ dθ

Q: Find the exact value of the integral. (No decimal approximations accepted) 1/2 x cos(x³) dx

A: Given problem is :

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(t) sqrt{1+cos(t)} dt

A: By substitution, we find the value of given integral.

Q: 169 dx Evaluate the integral x( In x)® 13 169 dx 13 x( In x)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration e"V31 + e" dx

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Q: 6) Evaluate cach integral by using trigonometric functions. dx a) 4x* +9 dx b) x² +10x + 26

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dz 3 7 + z4

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Q: r" (tan (x)) (In (cos(x))) dx

A: solve this integration by substitution. substitue                    ln(cos(x)) = t on solving

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx cos x

A: The given integral is ∫sinxcos5xdx. We know that, ∫xndx=xn+1n+1+c           c=Integration constant.

Q: Find the indefinite integral. (Use C for the constant of integration.) | (2 cos x + 9 sin x) dx

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Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: Evaluate the integral. (Use C for the constant of integration.) (1.2^x+4^x)dx

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Q: 1 x2 1. Calculate an approximate value of the integral , dx by dividing the 1+x3 interval into 4…

A: Given function is, ∫01x21+x3

Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

Q: Find the indefinite integral. (Use C for the constant of integration.) coss t dt sin t

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Q: Find the general indefinite integral. (Use C for the constant of integration.) x' dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) (sin(x) – 4 cos(x)) dx

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Q: Use Simpson's rule to find the value of the following integral e-3x dx where n=4 0.1

A: By the Simpson's rule, ∫abfxdx≈∆x3fx0+4fx1+2fx2+4fx3+...+4fxn-1 here n is 4, a = 0.1 and b=0.9. Then…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I sint sin(t)√1 + cos(t)…

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Q: - e*) sinh x + e* cosh x + ex In the indefinite Integral in(cosh x + ex). A In(cosh x + e*)- sinh x…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(t)V1 + cos(t) dt

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Q: 4. What is the geometric relationship between the two integrals below? et dx, In x dx Evaluate the…

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Q: Evaluate the integral after changing the integral S's (in (x+y+ 1)dx dy -S1-ye

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Q: Evaluate the integral. (Use C for the constant of integration.) dx cos(x) – 1

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(t)V1 cos(t) dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) .5 cos dt sin t

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 5 t dt COS V sin t

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Q: Find the indefinite integral shown below using the given method. | sin(x) cos(x) dx (a) substitution…

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Q: 2 (F(x) + x³)dx = ? %3D -1

A: Given that the area under f(x) in [-1,2] is 10br2 So,

Q: Evaluate the integral. (Use C for the constant of integration.) sin (x) cos (x) dx 4.

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Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

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Q: valuate the indefinite integral. (Use C for the consta | (In(x))14 dx

A: Given: ∫lnx14xdx

Q: Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. (Give…

A: The given integral is,

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) z2 dz 8 + z3

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt 9 + tan(t) CoS

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Q: Calculate an approximate value of the integral x2 dx by dividing the 1+x interval into 4 equal parts…

A: In the question we have to find the value of integral by using Simpson's one - third rule.

Q: Find the indefinite integral. (Use C for the constant of integration.) sin (x) cos(x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin (9.r) J 1+ (cos…

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Q: Find the indefinite integral shown below using the given method. ∫ sin(x) cos(x) dx (a)…

A: Given ∫ sin(x) cos(x) dx. We need to find: (a) substitution where u = sin(x)…

Q: Find the value of the definite integral 1 1 dx. (1+ v7)4 Show Your work

A: Our Aim is to find the value of the definite integral:-I=∫011(1+x)4dx  -(i)

Q: Evaluate the definite integral. integral 0 to 1  ( x divided by 1+2x2) dx

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Q: 2 S sin (ax)cos(ax)dx

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Q: 3. Find an integral for the exact length of the curve: x = t + cost, y =t - sint, 0st<3n You do not…

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Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) /(2 sin(x) dx sin?(x),

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Q: 2. Using the Simpson’s rule with N = 4, find as accurately as possible numerical value of following…

A: Given that the integral is ∫1∞e-x22dx and n=4. Now find  h=b-a2=∞-12=∞h=∞ The value of h is…

Q: Find a bound on the error in approximating the definite integral us dx; n = 10 (a) the Trapezoidal…

A: Here we have, I=∫144xdx; n=10 ⇒f(x)=4x ⇒a=1, b=4, n=10