First make a substitution and then use integration byparts to evaluate the integral.   ∫Cos √x dx

Q: Evaluate each integral bY first making an a substitution. appropriate Sx(x²-1)" dx ल मैंढ a)

A: .

Q: 1 dx х6—х

A: To evaluate the integral: ∫1x6-xdx Solution: ∫1x6-xdx On simplifying further we get:…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A:

Q: Evaluate the integral by making the given substitution.   ∫ Sinπ x dx , u =π x

A: Given integral is We will use the following substitution to evaluate the integral.

Q: Evaluate the integral. (Use C for the constant of integration.) x3 xp 49 + x2

A: In this we have to solve by putting the value of u=49+x^2 I'm providing hand written solution for…

Q: Use a substitution to change the integral into one found in the table of integrals, then evaluate:…

A:

Q: Se*x* dx

A:

Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Given- ∫13lnxxdx To Use- The appropriate trapezoidal rule to approximate the value of above integral…

Q: Evaluate the following integral by reversing the order of integration. 2 "dxdy note: e* = exp(x*)

A: Changing the order then integrate.

Q: Evaluate the integral by substitution a) "x sin(x?) dx

A: Given : ∫0πxsinx2dx

Q: . Evaluate the following integral by using the substitution x =6sin0: 1 dx x'V36 – x²

A: Consider the integral: ∫1x236-x2dx…

Q: Evaluate the integral.

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Given a function, To find the integral ,  Apply the rule of integral,

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x'…

A: We calculate the given integral by substitution.

Q: Evaluate the integral. '1 x9/10 dx

A:

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: 1 -dx х6—х

A: We have to evaluate the integral by substitution method: ∫1x6-xdx Rewriting the integral,…

Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: I=∫e-2θsin6θ dθ Integrating by parts, we get I=∫e-2θsin6θ dθ=e-2θ∫sin6θ dθ-∫de-2θdθ×∫sin6θ…

Q: Stan(3x)dx 6.

A: We can find the integration using by parts as below

Q: V2m + 13 e dm

A:

Q: dx 16. 2 2 x*Vx –16

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

A:

Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Consider the provided integral, ∫02xe-x2dx Use the trapezoidal rule with n=4 to approximate the…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: Write out and find the following integral. Sxe2" dx

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts the rule is…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Evaluate the following integral by reversing the order of integration. 2 * dxdy

A:

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: Given: Let I=∫e5x dx To Find: To evaluate the given integral by making a u‐substitution and then…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V…

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

A:

Q: Evaluate the integral

A: ∫1+x2xdx Put, x=tanθ⇒1=sec2θ·dθdx⇒dx=sec2θ·dθ

Q: Use integration by parts to find the following integral.  ∫ 7xln ( x ) dx

A:

Q: Evaluate the integral. 3x Va? - x² dx

A:

Q: Evaluate the integral using the following values. = 260, x dx = 10, d dx = 260, dx = 2

A: ∫46x3 dx=260 , ∫46x dx =10 , ∫46 dx= 2∫46 (29-5x-x3) dx = 29∫46dx - 5∫46x dx - ∫46 x3dx

Q: L'²₁ (r + 1)² dr

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) + 9…

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

A:

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A:

Q: Q2. Use Integration by parts to evaluate the following integrals Seax cosbx dx

A: Answer

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A:

Q: Evaluate the integral using the following values. x dx = 320, 9. dx = 16, dx = 4 7x dx

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Evaluate the integral by completing the square and using the following formula. (Remember to use…

A: Evaluate the integral: I=∫9 dxx2-2x

Q: b) r.e dr

A:

Q: Evaluate the integral using the following values. * dx = 960, x dx = 24, dx = 4 5x 12

A:

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.