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ANSWERED

Keondre Parker verified

Numerade educator

1. Evaluate the following integrals: (a) Z(2 + 5x) sin(2x) dx (b) Z√3/2^1/2 sin−1 (y) dy 2. Evaluate each of the following integrals: (a) Z (ln(x)/x)^2 dx (b) Z e^6θ cos (e^3θ) dθ ← Hint: Rewrite e^6θ = e^3θ · e^3θ

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ANSWERED

Melissa Munoz verified

Numerade educator

1. Evaluate the following integrals: (a) Z(2 + 5x) sin(2x) dx (b) Z√3/2^1/2 sin^−1 (y) dy

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ANSWERED

Ma. Theresa Alin verified

Numerade educator

Question number 3. Calculate the given integral: ( int an ^{3}(10 x) d x ) ( frac{1}{30} an ^{3}(10 x)-frac{1}{10} an (10 x)+x+C ) ( frac{1}{20} an ^{2}(10 x)+frac{1}{10} ln |cos (10 x)|+C ) ( frac{1}{30} an ^{3}(10 x)+frac{1}{10} an (10 x)+10 x+C ) ( frac{1}{20} an ^{2}(10 x)+frac{1}{10} sec (10 x)+C ) ( frac{1}{20} an ^{2}(10 x)-frac{1}{10} ln |cos (10 x)|+C )

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ANSWERED

Ma. Theresa Alin verified

Numerade educator

Question number 2. Calculate the given integral: ( int sin ^{6}(4 x) cos ^{3}(4 x) d x ) ( -frac{1}{28} sin ^{7}(4 x)+frac{1}{36} sin ^{9}(4 x)+C ) ( -frac{1}{24} cos ^{6}(4 x)+frac{1}{32} cos ^{8}(4 x)+C ) ( frac{1}{28} cos ^{7}(4 x)-frac{1}{36} cos ^{9}(4 x)+C ) ( -frac{1}{28} cos ^{7}(4 x)+frac{1}{36} cos ^{9}(4 x)+C ) ( frac{1}{28} sin ^{7}(4 x)-frac{1}{36} sin ^{9}(4 x)+C )

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ANSWERED

Ma. Theresa Alin verified

Numerade educator

Question number 10 . Calculate the given integral: ( int 2 an ^{5}(9 x) d x ) ( frac{1}{18} an ^{4}(9 x)+frac{2}{9} ln |sec (9 x)|+C ) ( frac{2}{45} an ^{5}(9 x)+frac{2}{9} ln |sec (9 x)|+C ) ( frac{1}{18} an ^{4}(9 x)-frac{1}{9} an ^{2}(9 x)+frac{2}{9} ln |sec (9 x)|+C ) ( frac{1}{27} an ^{6}(9 x)+frac{2}{9} ln |sec (9 x)|+C ) ( frac{1}{18} an ^{4}(9 x)+frac{1}{9} an ^{2}(9 x)-frac{2}{9} ln |sec (9 x)|+C )

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ANSWERED

Sam Stansfield verified

Numerade educator

Calculate the given integral: ? cos?(8x) sin³(8x) dx ? 1/56 sin?(8x) - 1/72 sin?(8x) + C ? 1/56 cos?(8x) - 1/72 cos?(8x) + C ? -1/48 cos?(8x) + 1/64 cos?(8x) + C ? -1/56 cos?(8x) + 1/72 cos?(8x) + C ? -1/56 sin?(8x) + 1/72 sin?(8x) + C

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INSTANT ANSWER

Question number 2. Calculate the given integral: \( \int \sin ^{4}(7 x) \cos ^{3}(7 x) d x \) \( \frac{1}{35} \sin ^{5}(7 x)-\frac{1}{49} \sin ^{7}(7 x)+C \) \( -\frac{1}{28} \cos ^{4}(7 x)+\frac{1}{42} \cos ^{6}(7 x)+C \) \( \frac{1}{35} \cos ^{5}(7 x)-\frac{1}{49} \cos ^{7}(7 x)+C \) \( -\frac{1}{35} \cos ^{5}(7 x)+\frac{1}{49} \cos ^{7}(7 x)+C \) \( -\frac{1}{35} \sin ^{5}(7 x)+\frac{1}{49} \sin ^{7}(7 x)+C \)

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INSTANT ANSWER

Question number 3. Calculate the given integral: \( \int \tan ^{3}(7 x) d x \) \( \frac{1}{14} \tan ^{2}(7 x)+\frac{1}{7} \sec (7 x)+C \) \( \frac{1}{14} \tan ^{2}(7 x)-\frac{1}{7} \ln |\cos (7 x)|+C \) \( \frac{1}{21} \tan ^{3}(7 x)-\frac{1}{7} \tan (7 x)+x+C \) \( \frac{1}{21} \tan ^{3}(7 x)+\frac{1}{7} \tan (7 x)+7 x+C \) \( \frac{1}{14} \tan ^{2}(7 x)+\frac{1}{7} \ln |\cos (7 x)|+C \)

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INSTANT ANSWER

Question number 4. Calculate the given integral: \( \int \tan ^{4}(4 x) d x \) \( \frac{1}{12} \tan ^{3}(4 x)-\frac{1}{4} \tan (4 x)+x+C \) \( \frac{1}{8} \tan ^{2}(4 x)-\frac{1}{4} \ln |\cos (4 x)|+C \) \( \frac{1}{8} \tan ^{2}(4 x)+\frac{1}{4} \ln |\cos (4 x)|+C \) \( \frac{1}{12} \tan ^{3}(4 x)+\frac{1}{4} \tan (4 x)+4 x+C \) \( \frac{1}{8} \tan ^{2}(4 x)+\frac{1}{4} \sec (4 x)+C \)

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INSTANT ANSWER

Question number 5. Calculate the given integral: \( \int 2 \sec ^{4}(10 x) d x \) \( \frac{1}{15} \tan ^{3}(10 x)-\frac{1}{5} \tan (10 x)+C \) \( \frac{1}{15} \tan ^{3}(10 x)+\frac{1}{5} \tan (10 x)+C \) \( \frac{1}{10} \tan ^{2}(10 x)+\frac{1}{5} \sec (10 x)+C \) \( \frac{1}{10} \tan ^{2}(10 x)-\frac{1}{5} \ln |\cos (10 x)|+C \) \( \frac{1}{15} \tan ^{3}(10 x)+\frac{1}{5} \tan (10 x)+2 x+C \)

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