Solve each of the integrals in Exercises 75–78 by using poly- nomial long division to rewrite the integrand. This is one way that you can sometimes avoid using trigonometric substitu- tion; moreover, sometimes it works when trigonometric sub- stitution does not apply. x3 dx x² + 4 x² – 1 dx x² + 1 75. 76. x4 – 3 dx 2+ 3x² x³ – 3x² + 2x – 3 dx 77. 78. x² +1

Q: If DB bisects Z CDA, then Z? = L_?_.

A: Given is that DB→ bisects ∠CDA. the bisection means dividing an angle in two equal parts.

Q: Evaluate each integral in Exercises 47-50 by reducing the improper fraction and using a substitution…

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Q: 2.r³ – 5x²+4x– Ar 4 dx

A: Given:  ∫2x3-5x2+4x-4x2-xdx           =∫2x-3+x-4x(x-1)dx            =∫2x-3 dx+∫x-4x(x-1)dx By using…

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Q: 5 – 2i 1+i If A = find A. 2 – i -2 – 5i ? ? A = А ? ?

A: We will find out the required value.

Q: Resolver

A: To find the area under the curve given by the function f(x)=−x2+2x+3 at the specified points  x =…

Q: Differentiate Show all work

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Q: 1 Evaluate the integral S√I+2x f dx

A: We have definite integral  Substitute 1+2x=z2  to make integration radical free as I have done…

Q: sin x dx cos? x + cos x 23.

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Q: x²+ 4x-5)ax 65 A 50 B 73 80

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Q: Solve using Bisection and Regula Falsi   e-x-x

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Q: For Exercises 31–56, perform the indicated operations. Write the answers in standard form, a + bi.…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

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Q: For Exercises 19–26, simplify each expression and write the result in standard form, a + bi. 8 + 3i…

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Q: For Exercises 99–103, perform the indicated operations. 1 + =i 6. 99. + -i 100. (4 – 7i)(5 + i) 3 5…

A: 99. Given expression, 23+35i-16+25i Now simplify the given expression, 23+35i-16+25i=23-16+35-25i…

Q: xsinnx I= dx = 2 sinx

A: …