valuate the following integral: x2 + 5x + 6 dx. J ( – 1) (x2 + 3) |-

Q: Find the most general antiderivative or indefinite integral. (a) / -3t2 + evt3 dt Vi 4 dx 3V - x² 2…

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) fe (2ti + j + 9k) dt it +jt +…

A:

Q: ind the general indefinite integral. (Use C for the constant of integration.) 6 csc2(t) – 3et) dt

A:

Q: Reverse the order of integration and then evaluate. So S, x? sin(xy)dxdy а.

A: Let's find.

Q: ** Using the substitution y=x, the integral eln24 evx dx is the same as or equal to

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: ite the integral (Use C for the constant Integration) In Vx)dx

A:

Q: Integrate the following functions with respect to x. (i) S–dx (ii) Sdx [Hint: Integration by…

A: (1). Given: I=∫xx2-4dx   ...1 Let, u=x2-4So,dudx=ddxx2-4dudx=2xxdx=du2

Q: use the indicated substitution to evaluate the integral.

A:

Q: Use substitution to find the indefinite integral.

A: Substitute u=9x2+18x,du=18x+18.

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

A:

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: Q2/ Evaluate the integral: 6. xe' dy dx by changing the order of integration.

A:

Q: First make a substitution and then use integration byparts to evaluate the integral.   ∫t3 e-t2 dt

A: The given integral is Apply substitution method So, the integral is

Q: Evaluate the integral. (Use C for the constant of integration.) 6.3 t0.5 0.5 6e*) dx 6.

A:

Q: Evaluate the following by changing the order of integration: dx dy. z/3

A: Explanation of the solution is given below....

Q: Find the general indefinite integral. (Use C for the constant of integration.) |(u + 5)(8u + 5) du

A: First we expand the expression ∫(u+5)(8u+5)du=∫8u2+5u+40u+25du=∫8u2+45u+25du

Q: Express the integral a.e •e²² dx in terms of the integral dx .

A:

Q: r12 »4 Evaluate the integral e* dx dy by reversing the order of integration. NOTE: Enter the eract…

A: Imaginary error function ∫ex2dx=π2erf(x)+c

Q: Sx²e2x*dx `x²e?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

A:

Q: Evaluate the integral. 4 S(5x+ ) dx (5x + Vx) dx 1 4 |(5x + Vx) dx =D %3D 1 (Type an exact answer.)

A: We want to integrate the given function.

Q: Approximate the value of the given integral by use of the trapezoidal rule, using the given value of…

A:

Q: Reverse the order of integration. ! f(x.y) dy dx (Type exact answers.)

A: Reverse the order of integration

Q: Evaluate the indefinite integral. 1x - 3 dx J (læ2 – 6x + 4)3 Answer = +C

A:

Q: Reverse the order of integration in order to calculate the following integral: C. S 2 1+x4 dx dy.

A: I have stated the used formulas in the solution

Q: S 2x. e*dx а. 4 3 b. J 20(2x + 1) dx

A: Part(a): Let the given integration is, I=∫2x.exdx

Q: Use numerical integration to evaluate the following: dx (b) e-" sin y dy 2 x(x + 2)

A:

Q: dx '1 x[13+ln(x²)]

A:

Q: Reverse the order of integration and evaluate the following integral. 2ex2 dx dy 1 c1

A:

Q: Use substitution to find the indefinite integral

A: Given ∫1xlnxdx

Q: Determine whether the following statements is true or false, and explain why.

A: Answer: False.

Q: Use reduction formula to evaluate the given integral xe" dx

A:

Q: Reverse the order of integration in (2xy + 1) dxdy and then evaluate.

A: To reverse the order of integration in ∫04∫y2y2xy+1 dx dy and then to evaluate.

Q: Reverse the order of integration in order to calculate the following integral: 2 1+x4 0 dx dy.

A: We can evaluate the given integral by using the integral formulas.

Q: Evaluate the integral. (Use C for the constant of integration.) dt t4 + 10

A:

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

A:

Q: Evaluate V16-x² dx dx be? Explain Then, what would the value of the integral 1+V16-x 0.

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx x² + 9 2+9 n(x+ Vx² + 9 ) +C ×

A:

Q: Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

A:

Q: valuate the following integral using integration by parts x sin (1/7)x dx

A:

Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: S e'mx' dx Inx?

A:

Q: Find the indifinite integral. 2x +1) ex²+x dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

A:

Q: Evaluate the following integral. x2 dx V1- 144x x2 dx = V1-144x? (Type an exact answer. Use…

A:

Q: a. Sx² e3*dx b. St sin t dt

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | 9t sin?(t) dt

A:

Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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.