5134

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int xlog2xdx




5133

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int x^{2}Sin^{-1}xdx




5132

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int Cos^{-1}\big( \frac{1}{x} \big)dx




5131

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int x^{3}Sin(x^{2})dx




5129

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int x^{2}Cosxdx




5128

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int x^{2}e^{x}dx




5127

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int x^{3}tan^{-1}(x^{2})dx=\int x^{2}tan^{-1}xdx




5126

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int Cos\sqrt{x}dx




5125

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int tan^{-1}\big( \frac{3x-x^{3}}{1+3x^{2}}\big) dx=I




5124

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int \frac{xCos^{-1}x}{\sqrt{1+x^{2}}} dx




5123

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int e^{2x}Sinxdx=I




5122

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int \frac{x^{2}tan^{-1}x}{1+x^{2}}dx

 




5118

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int \left ( e^{logx}+Sinx \right )Cosxdx




5117

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int xCos2xdx




5116

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int xSin3xdx


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