Parçalı (kısmi) integrale ilişkin zor problemler (Makale)

Problem 1

integral, e, start superscript, x, end superscript, sine, x, d, x, equals

1 cevap seçin:

(A şıkkı)
e, start superscript, x, end superscript, left parenthesis, sine, x, plus, cosine, x, right parenthesis, plus, C
(B şıkkı)
start fraction, 1, divided by, 2, end fraction, e, start superscript, x, end superscript, left parenthesis, sine, x, minus, cosine, x, right parenthesis, plus, C
(C şıkkı)
2, e, start superscript, x, end superscript, sine, x, plus, C
(D şıkkı)
start fraction, e, start superscript, x, end superscript, cosine, x, divided by, 2, end fraction, plus, C

integral, left parenthesis, natural log, x, right parenthesis, squared, d, x, equals

1 cevap seçin:

(A şıkkı)
x, left parenthesis, natural log, x, right parenthesis, squared, plus, C
(B şıkkı)
x, left parenthesis, natural log, x, right parenthesis, squared, minus, 2, natural log, x, plus, C
(C şıkkı)
x, left parenthesis, natural log, x, right parenthesis, squared, minus, 2, natural log, x, plus, 2, x, plus, C
(D şıkkı)
x, left parenthesis, natural log, x, right parenthesis, squared, minus, 2, x, natural log, x, plus, 2, x, plus, C

integral, x, squared, sine, left parenthesis, pi, x, right parenthesis, d, x, equals

1 cevap seçin:

(A şıkkı)
start fraction, minus, x, squared, cosine, left parenthesis, pi, x, right parenthesis, plus, x, sine, left parenthesis, pi, x, right parenthesis, divided by, pi, end fraction, plus, start fraction, cosine, left parenthesis, pi, x, right parenthesis, divided by, pi, squared, end fraction, plus, C
(B şıkkı)
minus, start fraction, x, squared, cosine, left parenthesis, pi, x, right parenthesis, divided by, pi, end fraction, plus, start fraction, 2, x, sine, left parenthesis, pi, x, right parenthesis, divided by, pi, squared, end fraction, plus, start fraction, 2, cosine, left parenthesis, pi, x, right parenthesis, divided by, pi, cubed, end fraction, plus, C
(C şıkkı)
start fraction, minus, x, squared, cosine, left parenthesis, pi, x, right parenthesis, plus, 2, x, sine, left parenthesis, pi, x, right parenthesis, plus, 2, cosine, left parenthesis, pi, x, right parenthesis, divided by, pi, end fraction, plus, C
(D şıkkı)
minus, start fraction, x, squared, cosine, left parenthesis, pi, x, right parenthesis, divided by, pi, end fraction, plus, 2, x, sine, left parenthesis, pi, x, right parenthesis, plus, C