evaluate the integral: Given that [₁² f(x) dx = 3, [²9(x) dx = 2, f(x) — 3g(x) 2 [²³ F (² dx.

Q: -Find the value of th integral e-x' dx.

A: Consider I = ∫0∞e-x2 dx                              (1) Let x2 = t On differentiating both sides,…

Q: r sin(T|2² - 1) cos² (7|2² - 11) da -3

A: To find the following definite integral.

Q: Evaluate the integral 1 x3 dx. 1+ x2 0.

A:

Q: x - 7 dx. /x². Evaluate the integral 2

A: Answer and explanation is given below..

Q: Evaluate the integral. 150 dx (x + 1)(x² + 9)²

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

Q: D) Calculate the following definite integral: [* (/{√x - 1) dx

A:

Q: Evaluate the integral x³/x² - 7 dx.

A:

Q: Evaluate the integral 1 - √xé √x sec 1 2 sec | √xe¯ √x ³0c ² (2e √x - 2) dx = 2 ² (2e √x - 2) dx.

A:

Q: Find the integral of [(e exponE + 1].

A:

Q: Use the substitution a 3 sin t to evaluate the integral f V9 – x² dx.

A:

Q: B1. Evaluate the integral | sinx (2 csc x- 4cot x) dx .

A: Given: The integral given is  ∫sinx2cscx-4cotxdx

Q: 1. [²+3x - 4)dx

A:

Q: (ii) Evaluate the definite integral r³e² dr.

A:

Q: 1. Evaluate : S (4x* + dx 2 S"(4x³ +)dx 0. x+1

A:

Q: evaluate  integral 0 to 3  1/ x-1  dx if possible.

A:

Q: Please determine Į In(x2 + 1) dx.

A: The objective is to evaluate the integral.