Which of the following is incorrect about the propertics of an integral? s F(x)dx = - f(x)dx Sa kf(x)dx = k ff(x)dx Option 1 O Option 2 sN)dx = 0

Q: Evaluate each integral. dx а) 5x – 4 b) [(2-VF)dx

A:

Q: 16. Determine the following integrals: (a)Scos 8.xdx. S sin" x.cos.xdx (b)? sec² xdx (c) (d)Se*dx

A:

Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: luate the following definite integral 2 dx J V3 – x + Vx

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: d) [ ²³ f(x) dx = = 0 11

A: Consider the given figure,The objective is to evaluate the integral .Formulas use:Area of triangle…

Q: Write as a single integral in the form f(x) dx. I F(x) dx dx + f(x) dx -5 f(x) dx

A:

Q: Which of the following is incorrect about the properties of an integral? rx)dx = - L, f(x)dx Si…

A: As we know that from property of definite integration.

Q: .5. Compute integral -3 (2.p) -5 5.

A: Given: So, we have f(x)=0,   x≤2c,   x>2.

Q: 27. (u + 2)(n-3) du 29. f. 2+² dx 28. f*(4-1)√1 dt 30. f²₁ (3u-2)(u + 1) du

A:

Q: Use any method to evaluate the integral. dx (x²-4)3/2' S dx (x²-4)3/2 3/2,X>2

A: For solving this:

Q: Use the Midpoint Rule to evaluate the integral fx-¹dx. Sx 1 O O O T N|W T 11133 113 21/3

A: Given integral is ∫12x−1dx. We have to evaluate the given integral by using midpoint rule. Here,…

Q: Evaluate the definity integral  from 0-4 (x-3)(x-5)dx

A: Evaluate the integral ∫04x-3x-5 dx.