im 2 In(x² + 1) dx +

Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use a Substitution

A: Given: I=∫12xx2-9-3dx for evaluating given integral, we substitute x2-9=t…

Q: Consider the indefinite integral a Vx² +1 da: This can be transformed into a basic integral by…

A:

Q: Find the indefinite integral f V9+x² x3 dx using an appropriate trigonometric substitution.

A: To find :  I=∫x39+x2dx

Q: Evaluate the definite integral. 1/x5 dx +6

A: Consider the given integral.

Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A: Use the following formulae, to obtain the solution. dax=adx, where a is a constant.…

Q: Find the definite integral. xp

A: Given integral: ∫e-1edx Recall the formula ∫xdx=xn+1n+1+cWhere, c is contant…

Q: Evaluate the following indefinite integral. dx e In(x) Note: Don't forget your C! And be sure to use…

A: indefinite integral

Q: Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

A:

Q: Evaluate the following indefinite integral. Do not include +C in the answer. 3 dx

A:

Q: Evaluate the definite integral. e !/x5 dx 1 to

A: We have to solve integration by put  1/x⁵ = t

Q: Evaluate the definite integral: – 1| dæ

A:

Q: Evaluate the definite integral. e 3 dz

A:

Q: Evaluate the following indefinite integral. Do not include +C in your answer. -4x5 + xª + x² – 1)dx

A:

Q: Evaluate the definite integral: 8 dx

A: Given integral, ∫388dx

Q: Evaluate the definite integral given below. 7 dx 16+16x? Enter your answer in exact form.

A:

Q: Evaluate the definite integral | (16 – a*)dæ -

A: Please refer to the image below

Q: Evaluate the definite integral. x - 2 dx 12

A:

Q: Can you use the log Rule to find the integral below? Explain. (x²-4)3 dx

A: Explained below

Q: Evaluate the definite integral. dx 1+x

A: Evaluate: ∫05x1+xdx

Q: Evaluate the definite integrals. a) (x³ + 6x)dx

A:

Q: (In x)® + 1 5. dx

A:

Q: Evaluate the integral. cos /x

A: Given:          ∫cosx5x45dx Apply u-substitution: u=x5                dudt=15x455 du= 1x45dt…

Q: Vex – 1 dx c2

A:

Q: Evaluate the definite integral. x² dx

A: "Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: calculate this definite integral 5 at the top and 0 at the bottom pi(20/5 -4x/5)2  dx

A:

Q: evaluate the definite integral.

A:

Q: Evaluate the definite integrals [(*-2r*) dx

A: Please refer to the image below.

Q: Evaluate the indefinite integral.

A: To integrate

Q: Evaluate the given definite integral, if it exist. V4 + 3x dx

A: Given that finite integration and we find its value by using integration formulas. We know that…

Q: dx 15. x1+(In x)*]

A:

Q: Evaluate the following definite integral. a) 3 dx 2x +

A: Given: a  ∫142x+3xdxb  ∫π/3π/2sec2x2dxc ∫01e1-xdx

Q: Evaluate the indefinite integral. Type pi if you need n in the answer. x7/2 4x5/2 - 1) dx = +

A:

Q: г2 dx -2 х+2

A: The given integral is:

Q: e

A:

Q: Evaluate the following integral by using appropriate method. an 3x2 dx x² -25

A: Given:  f(x) =∫3x2x2-25dx                   =3∫x2x2-25dx      By using trignometric substitution Let…

Q: Evaluate the definite integral. e4 – x dx 14

A:

Q: Evaluate the definite integral. 7 dx 1

A:

Q: Evaluate the definite integral.

A: It is given that, ∫-10249-4x2dxWe have to evaluate it.

Q: Evaluate the indefinite integral. 5e5z sin(e") dr

A: Given,  ∫  5e5x sine5xdx

Q: Evaluate the definite integral. x² - dx x' -1

A: Given,          ∫x2x3-1dx

Q: Evaluate the definite integral. e2 - x dx

A: The given integral is as follows. Let u=2-x. Then, du=-dx. The Lower limit will be u=2-2=0 and the…

Q: Evaluate the definite integral. (x2 - 2)2 dx

A: To find the integration

Q: Evaluate the definite integral. dx 36 + (x + 5)2

A:

Q: | Evaluate the definite integral: 4+ 5x? dx

A:

Q: Evaluate the following indefinite integral. Do not include +C in your answer. (-3x* + 6x – 5x² )dx

A:

Q: Evaluate the definite integral. 2 dz

A:

Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Evaluate the definite integral.

A: Given:∫-12 10e2x25 + e4x dxFormula:∫dxx2+a2 =1a tan-1xa +C

Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the com 4x2 dx (16 +…

A: on solving this we get the