orea Evaluate the definite integral 2 (9et + 8x)dx using Part 1 of the Fundamental Theorem of Calculus. Enter the exact answer. Remember to include a "+ C" if appropriate.

Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx

Q: Evaluate Your Answer: Answer [₁¹ 1 - 3x √x dx

A:

Q: Væ2 - 64 dx. Evaluate

A: To evaluate: I=∫x2-64x3dx Substitute u=x2-64⇒du=12x2-64(2x) dx⇒dx=ux du

Q: Write ∫ tan2k+1 x dx, where k is a positive integer, in terms of ∫ tan2k−1 x dx.

A: Given integral is ∫tan2k+1dx. Rewrite the above integral as follow.…

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A: the given expression is: 12sinh1 as we know that: sinhx=ex-e-x2 therefore the value of sinh(1) is:…

Q: dx 1₁ (x² + 8x + 13)² press numbers in exact form. Use symbolic notation and fracti - C as much as…

A: Given ∫dxx2+8x+132

Q: 4 12+5X- 14 dx

A:

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A:

Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1