Compute the integral f/4 tan² (x) dx . 1 1 6/2 15 3 |4 性 4

Q: Find the value of the integral x²dx (x² + 9)(x² + 4)² 0-

A: The integral can be solved by first simplifying the integrand by partial fraction decomposition.…

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

A: Answer and explanation is given below..

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 indefinite integral for the function using the substitution u = 8x² + 7. -dx = 18x +7 S -dx…

A: The given integral is ∫x8x2+7dx To find the value of the integral.

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

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

Q: Let •T/24 I = tan°(4x) sec(4) dx. Express the value of • T/24 tan"(4x) sec(4x) dx 10 in terms of I.…

A:

Q: +z/3 + sin z dz

A:

Q: What is ? arccotx d dx (arctanæ) -1 1 – x² 1 1 - x² -1 1 + x² 1 1+x²

A: ddxarctanx=11+x2 Proof: Let, y=arctanx   Then, tany=x Differentiate both sides with respect to x:…