Find the integral. Show your work!

Q: Evaluate the integral.

A:

Q: Find the integral of 2x4(1+x10)-1dx exactly. Show all working.

A: I = ∫2x41+x10-1dxI = ?

Q: Evaluate the integral in terms of the constan

A:

Q: Describe two ways for an integral to be improper.

A: The definition of an improper integral,  An improper integral is a definite integral that has either…

Q: Find the integral.

A:

Q: Evaluate the integral by making the substitution u = x5 – 6.

A: Given∫x4(x5-6)6dxSubstitute x5-6=uDifferentiate x w.r.t u5x4dx=dux4dx=15du

Q: Evaluate the integrals

A:

Q: 3, 1

A: ∫0∞x3(x2+1)(x+1)2dx put   x3 = u=> dx = 3 x23du => ∫0∞x3(x2+1)(x+1)2dx = ∫0∞3u3(u3 + 1)3(u6 +…

Q: Evaluate the integral. sec 2

A:

Q: (Ca' - x*

A: we know that,           integration of xn dx = xn+1n+1.  and x-y2= x2+y2-2xy

Q: Find the integral of Idx et ex+1

A: We have f(x) = ex-1ex+1 Now , we have to find  ∫ex-1ex+1dx  =  I(say)       Put   ex = t…

Q: Evaluate the integral by completing the square: dx 4x + 4x +5

A: Solution: The objective is to find the given integral

Q: Evaluate the integral by interpreting it in terms of areas.

A: The given integral ∫0732x-9dx

Q: Find the integral m tanx 1+x?

A:

Q: Evaluate the integral: In a da

A:

Q: Find the Integral ofs Cosh (2x+3)

A: To find: The integral of ∫cosh2x+3dx. Formula used: Integration formula: ∫coshxdx=sinhx+C

Q: Find the integral

A: To find- Find the integral ∫ex sinx dx     Concept Used-  Integration by Parts formula: ∫ u v dx = u…

Q: Evaluate the iterated integral.

A:

Q: Evaluate the integrals

A: To evaluate given integral.

Q: evaluate the integral.

A:

Q: Semio do 1. se h

A:

Q: Find the integral ∫sec4xdx.

A:

Q: Find the integral ∫tan5xdx.

A: Here given Now,

Q: Determine the integral by interpreting it in terms of areas. 2x

A:

Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: This question is based on integral by parts.

Q: Evaluate the integral.

A: Let the given intergral be y -y = ∫01r34+r2dry = ∫01r24+r2 r drLet,x = r2Diffrentiating with respect…

Q: Evaluate the integral. du

A: Evaluate the given integral.

Q: Find the integral of, "sqrt(25 - x^2) + 4 dx.  [-5,5]

A: Our Aim is to find the integral of ∫-5525-x2+4 -(i)

Q: Evaluate the integral or state that it is divergent.

A: To evaluate the integral.

Q: メナー Aト 2.

A: Let's find.

Q: Find the integral factor, which is only in terms of x or y

A:

Q: Find the integral t5sin

A: let  I=∫t5sin(t6)dtsubstitutet6=udifferentiate6t5dt=duort5dt=16du

Q: Evaluate the integral or state that it diverges. 12 - 1

A:

Q: Evaluate the integral a* In(x) dr

A:

Q: find the integral

A:

Q: 7)In(6) dx

A: The objective of the question is evaluate the indefinite integral.

Q: In xdx

A: Formula:Integration by parts:∫ uv dx =u∫v dx -∫ dudx∫vdxdxI=∫ x5 ln x dxu=ln x, dudx=1xv=x5I=ln x ∫…

Q: Evaluate the integral by making the substitution u = x – 6.

A: Given,           ∫x2x3-637dx ; by making the substitution u=x3-6

Q: Evaluate the integral by interpreting it in terms of areas. (1+ 2x) dr

A: NOTE: Refresh your page if you can't see any equations. .

Q: Isin xl dx

A:

Q: Find the integral of the Ponction fiyリ=

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Find the integral ∫cot4xdx.

A: ∫cot4xdx

Q: find the double integral Is 2. 3. yoa yatı

A:

Q: Evaluate the integral.

A: Use partial fraction,

Q: colt)

A:

Q: Evaluate the integrals ∫et√(tan2 et + 1) dt

A:

Q: Solve the integral

A:

Q: Evaluate the integrals ∫ex sec3 ex dx

A: Consider the given integration as ∫exsec3exdx

Q: Evaluate the integral, if it exists.

A: Given: ∫01 u4 +12 dx To evaluate: The value of the given integral.

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.