2x2 dx 5 – x²

Q: 2x2 dx 5 – x²

A: In the given question we have to find the integration by putting in the integral. So we will…

Q: fx sin(5x)dx

A: use integration by parts take

Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: Use Integration by parts or tabular integration to evaluate (x² + 3x + 6)(sin(2x)) · dx

A:

Q: Explain whether integration by parts may or may not be used to evaluate the integral fx cosx'dx. If…

A: Indefinite Integration

Q: Use integration by parts to find the indefinite integral ∫x arcsin 2x dx

A:

Q: Evaluate ſe* -3x cos 3x dx using integration by parts method.

A:

Q: Apply Integration by parts and evaluate : x²e® dx 2 -x

A:

Q: 1. | x cos x dx

A: 1 We have to evaluate the integral ∫xcosxdx. Use formula ∫fxgxdx=fx∫gxdx−∫dfxdx⋅∫gxdxdx Here, fx=x…

Q: Use integration by parts to find the integral: (Integral sign) 7x ln x dx

A: Consider the integral

Q: Integrate § 8x^3 dx from -2 to 2 and explain (with a diagram) how this area could be 0.

A:

Q: lex-25 dx

A:

Q: Use substitution to find the indefinite integral x +2x dx x4 + 4x² = 3 x+2x dx%3D x + 4x² - 3

A: We have to solve

Q: 2.x + 1 dx x² + 8x + 25

A:

Q: dx 8. √√√√x+√√x

A:

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: 2 x+ 2x dx x°+3x2 – 1

A:

Q: x² +1 dx (3x+1) 2. Evaluate

A:

Q: evaluate using Integration by Parts.

A: To find the given integral by using integration by part formula.

Q: use integration by ports 2. ) x Ln x dx

A:

Q: Evaluate f x³e2x dx using integration by parts

A:

Q: Use integral tables to evaluate. 1 dx; x> 3. 2xV9x -1

A: The following integral: ∫32x9x2-1dx; x>13.

Q: 6. f In² x dx

A: Topic = Integration

Q: Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

A:

Q: Find /- tan- x -dx using integration by parts. x2 ITM

A:

Q: Use Integration by parts to aompute the ntegral from! (4x)dx and 3 Inxdx

A:

Q: Explain the application of triple integral in detail ?

A: Triple integral is used to find volume. For volume there should be three dimensions that's why by…

Q: 11.f (4x+5) dx √1-2x

A:

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Use an appropriate substitution to integrate 24xcos(x2-2)dx

A:

Q: csc² x cot x/ csc x – 1 dx -

A:

Q: Describe integration by substitution in your own words.

A: Integration by Substitution method :…

Q: Use the tabular method to find the indefinite integral. ∫x2e2x dx

A: Since we have to compute the indefinite integral given below:-∫x2(e2x)dx - (i) using Tabular Method.

Q: 11. sec(x)/sec(x) + tan(x)dx

A: To find the value of the integral ∫secxsecx+tanxdxUsing Integration by partsAccording to it…

Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

A:

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

A:

Q: Use integration by parts to evaluate the defini 2xe dx = 1.5

A:

Q: 5. fe²x sin x dx 2x

A: Given ∫e2x sinx dxTo evaluate the integral:

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

Q: J1/4 Jx2

A:

Q: Use integration by parts to evaluate /(3x+2) cos (2x)dr.

A:

Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: Use integration by parts for both.

A: The given integral is

Q: tan

A:

Q: 2. fx Arctan xdx

A:

Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: Find area of circle whose eq is (x-3)^2 - (y-3)^2=4 using integration

A: Note: The correct equation of circle will be x-32+y-32=4.  The radius of the circle is 2 and center…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.