Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

Chapter 7 Class 12 Integrals | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 720
Question 1 of 10
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Question 1 of 10
NCERT Exemplar
If \(f\) and \(g\) are continuous functions in \([0,1]\) satisfying \(f(x)=f(a-x)\) and \(g(x)+g(a-x)=a\), then \(\int_0^a f(x) \cdot g(x) d x\) is equal to
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Question 2 of 10
NCERT Exemplar
If \(\int \frac{x^3 d x}{\sqrt{1+x^2}}=a\left(1+x^2\right)^{\frac{3}{2}}+b \sqrt{1+x^2}+\mathrm{C}\), then
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Question 3 of 10
NCERT Exemplar
\(\int e^x(\cos x-\sin x) d x\) is equal to
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Question 4 of 10
NCERT Exemplar
\(\int \frac{x^3}{x+1}\) is equal to
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Question 5 of 10
NCERT Exemplar
\(\quad \int_{-2}^2|x \cos \pi x| d x\) is equal to
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Question 6 of 10
NCERT Exemplar
\(\int \frac{x^9}{\left(4 x^2+1\right)^6} d x\) is equal to
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Question 7 of 10
NCERT Exemplar
\(\int \frac{x+\sin x}{1+\cos x} d x\) is equal to
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Question 8 of 10
CBSE Board Exam 2026
\(\quad \int_{-1}^{1}(1-|x|) d x\) is equal to :
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Question 9 of 10
NCERT Exemplar
\(\int \frac{d x}{\sin (x-a) \sin (x-b)}\) is equal to
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Question 10 of 10
NCERT Exemplar
\(\int \frac{\cos 2 x-\cos 2 \theta}{\cos x-\cos \theta} d x\) is equal to
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